Someone please explain how this works | Mathematics | Page 1

white walrusBOT Jul 21, 2024, 11:08 AM

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daring kelp Jul 21, 2024, 11:09 AM

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so if we follow the order of operations here in Australia (BEDMSA) brackets, exponents, division, multiplication, subtraction, addition

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(12-5x2) 5x2=10 so 12-10 = 2 and 144/2 is 72 not 42?

obsidian stream Jul 21, 2024, 11:11 AM

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7 x 12 ÷ 2

daring kelp Jul 21, 2024, 11:11 AM

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wait why 7?

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that's the base for the radical right?

obsidian stream Jul 21, 2024, 11:12 AM

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7√(144) = 7 x 12

daring kelp Jul 21, 2024, 11:12 AM

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huh?

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I don't understand sorry

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I thought the radical was to find the base with an exponent and the value?

obsidian stream Jul 21, 2024, 11:14 AM

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i don't understand either √(144)= √(12^2) = 12 so 7√(144) = 7 x 12 ?

daring kelp Jul 21, 2024, 11:15 AM

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12^2 is not 12

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it's 12x12

obsidian stream Jul 21, 2024, 11:17 AM

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yes but √(12x12) = 12

daring kelp Jul 21, 2024, 11:17 AM

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I found the answer

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7√144 is 82 then the rest is basically divided by 2

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thanks for your help

obsidian stream Jul 21, 2024, 11:18 AM

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np

daring kelp Jul 21, 2024, 11:18 AM

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.close

white walrusBOT Jul 21, 2024, 11:18 AM

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Solved

Post marked as solved by @daring kelp.

Use .unsolved if this was a mistake.

winged edge Jul 21, 2024, 11:20 AM

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daring kelp 12^2 is not 12

💀💀💀

daring kelp Jul 21, 2024, 11:21 AM

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winged edge 💀💀💀

?

winged edge Jul 21, 2024, 11:22 AM

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obsidian stream 7√(144) = 7 x 12

7√(144) = 7 times the square root of 144

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square root of 144 is 12

daring kelp Jul 21, 2024, 11:22 AM

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wait

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I don't understand

winged edge Jul 21, 2024, 11:22 AM

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what do you don't understand

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square root ?

daring kelp Jul 21, 2024, 11:22 AM

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I guess I don't understand what the radical symbol is for then

winged edge Jul 21, 2024, 11:23 AM

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what radical

daring kelp Jul 21, 2024, 11:23 AM

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I thought it was to find the base if you have an exponent and the final value

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√

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like this

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I thought it was used to find the base

winged edge Jul 21, 2024, 11:24 AM

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basically

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for basic maths you won't use the radical symbol with n

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i mean

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the n root is hard to use and requires advanced mathematics knowledge

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in this exercise you just have to use the square root

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which is this with n=2 and which has special properties that make it easy to use

daring kelp Jul 21, 2024, 11:27 AM

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what is the 7 for then?

winged edge Jul 21, 2024, 11:27 AM

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you can see the "radical symbol" of x as x^1/n

winged edge Jul 21, 2024, 11:27 AM

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daring kelp what is the 7 for then?

square root of 7 ?

daring kelp Jul 21, 2024, 11:28 AM

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the square root of 7 isn't 144 though

winged edge Jul 21, 2024, 11:28 AM

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no

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7√(144) = 7 * square root of 144

daring kelp Jul 21, 2024, 11:29 AM

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?

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square root of 144 is 12

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OHHHH

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OHHHH

winged edge Jul 21, 2024, 11:29 AM

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144 = 12*12 = 12^2

daring kelp Jul 21, 2024, 11:29 AM

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I SEE I THINK

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so wait

winged edge Jul 21, 2024, 11:29 AM

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7 * square root of 144 is 7* 12

daring kelp Jul 21, 2024, 11:29 AM

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AH I SEE

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OH YOU JUST MADE IT MAKE SENSE

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THANK YOU SO MUCH

winged edge Jul 21, 2024, 11:30 AM

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daring kelp OH YOU JUST MADE IT MAKE SENSE

so what's the square root of 49 if you understood correctly

daring kelp Jul 21, 2024, 11:31 AM

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7?

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7x7 = 49?

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basically I understand how to use the √ now thanks to you

winged edge Jul 21, 2024, 11:31 AM

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👍

daring kelp Jul 21, 2024, 11:31 AM

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like 4√556 = 4 x the square root of 556

winged edge Jul 21, 2024, 11:32 AM

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yes

daring kelp Jul 21, 2024, 11:32 AM

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but then how do you calculate the square root without a calculator

winged edge Jul 21, 2024, 11:32 AM

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harder exercise :
simplify square root of 90

winged edge Jul 21, 2024, 11:33 AM

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daring kelp but then how do you calculate the square root without a calculator

depends of what square root

daring kelp Jul 21, 2024, 11:33 AM

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idk how

winged edge Jul 21, 2024, 11:33 AM

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either you let the square root form if you can't simplify it into a easy value either you simplify it

winged edge Jul 21, 2024, 11:33 AM

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daring kelp idk how

so basically

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√(90) = √(9*10) = √9 * √10

daring kelp Jul 21, 2024, 11:35 AM

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should I be using a calculator?

winged edge Jul 21, 2024, 11:35 AM

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and √9 = 3

daring kelp Jul 21, 2024, 11:35 AM

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to find the square root

winged edge Jul 21, 2024, 11:35 AM

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depends of what square root

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give an example i'll tell you

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if you can do it without calculator

daring kelp Jul 21, 2024, 11:36 AM

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552

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I don't think I am at that stage of pre algebra yet

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I am going to go back to studying tysm man for helping me understand the problem

winged edge Jul 21, 2024, 11:41 AM

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daring kelp 552

so step by step :
you check if it's a remarkable value like 4 or 49 or 16 or 9 etc (which is not for 552)
you check if you can find a remarquable value within the square root
like a = b*c and you know the square root of b so you can simplify it

In this case 552 = 4 times 138
so you transform √552 into √4 * √138
You know that square root of 4 is 2 so you can simplify it by √552 = 2√138

after this step you repeat for c to simplify it another time into c = d*e etc etc

in this case you can't simplify √138

so the final result of the simplification is 2√138

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it's hard to approximate the value of it but you can use a near remarkable value

daring kelp Jul 21, 2024, 11:42 AM

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erm what da sigma

winged edge Jul 21, 2024, 11:42 AM

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like √144 is 12

daring kelp Jul 21, 2024, 11:42 AM

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and 2√144 is 24?

winged edge Jul 21, 2024, 11:43 AM

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so √138 is ≈ 11.75

winged edge Jul 21, 2024, 11:43 AM

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daring kelp and 2√144 is 24?

yes

daring kelp Jul 21, 2024, 11:43 AM

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got it

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anyway man appreciate the help I am going back to studying now

winged edge Jul 21, 2024, 11:43 AM

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daring kelp anyway man appreciate the help I am going back to studying now

alright good luck 👍

#Someone please explain how this works