#somebody explain to me the square root equation pls

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vast mortarBOT
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fiery minnow
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define "the square root equation"

heady widget
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an equation that contains a square root?

fiery minnow
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ok, which one?

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there's infinitely many

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and 'the' means you have a specific one in mind

heady widget
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like the basic ones

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cause i can't understand it

fiery minnow
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ask an actual question then...

heady widget
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as example this one

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√x + 2 = 5

fiery minnow
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sqrt(x+2) or sqrt(x)+2?

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but it's the same as solving any other equation like 7x+3=4, just that you have to square at some point or state there's no solution

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such as with sqrt(x)=-1

heady widget
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i just cant understand

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how like

fiery minnow
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well for one... what's the question?

heady widget
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from 7x+3 it becomes 4

fiery minnow
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your typing is ambiguous

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cause... that's the equation I pulled from thin air as an example...

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the equation is 7x+3=4

heady widget
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oh wait

fiery minnow
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the question is to solve it, ie find an x such that 7x+3=4

heady widget
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so basically

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its like

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6x+3=3

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or

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no

fiery minnow
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the math you're doing is the exact same

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except you have to include steps of squaring both sides, or stating there isnt a solution

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like if you get to sqrt(x)=-1, you conclude there's no solution

heady widget
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oh

fiery minnow
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since.. sqrt(x) >= 0 for all valid x.

heady widget
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one second

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what about one of these

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how do i solve those

fiery minnow
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just use properties of the sqrt to simplify

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$\sqrt{ab}=\sqrt{a}\sqrt{b}$ for $a,b\geq 0$

fierce bridgeBOT
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Omegabet_

fiery minnow
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so it's clear, for example, that $\sqrt{50}=\sqrt{2\cdot 25}=\sqrt{2}\sqrt{25}=5\sqrt{2}$

fierce bridgeBOT
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Omegabet_

heady widget
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im pretty confused

fiery minnow
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ok, and stating that doesnt help

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if you're confused, you ask a question

heady widget
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but one second

heady widget
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or the ones under

fiery minnow
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well you never specified a question, so I just picked a random radical from the page

heady widget
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oh

fiery minnow
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yeah

heady widget
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also

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when its like this

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is it 3x2?

fiery minnow
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+close