#simply and rationalise the denominator using conjugates

35 messages · Page 1 of 1 (latest)

gleaming nymphBOT
#
  1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  2. Wait patiently for a helper to come along.
  3. Once someone helps you, say thank you and close the thread with:
    +close
    
  4. Feel free to nominate the person for helper of the week in #helper-nominations
  5. Do not ping the mods, unless someone is breaking the rules.
  6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
gloomy token
#

Well, neither is correct.

tame sapphire
#

how so?

gloomy token
tame sapphire
#

mhm, im taking a pic rn

#

‘Ere ya go

#

Sorry it’s lopsided

gloomy token
#

I don't quite understand what you did. You tried to rationalize the denominator, but didn't.

#

Let's try again. What is (-9 - √(2))(-9 + √(2))?

sage burrow
tame sapphire
#

Ohh I see what I did wrong

#

hold up

#

so

gloomy token
#

Recall that (a - b)(a + b) = a^2 - b^2.

tame sapphire
#

mhmhmhm,

#

ima do it once more

sage burrow
#

The rest seems correct, just the formula was wrong.

#

You used a^2 + b^2 - 2ab I believe.

#

Which is for (a - b)^2.

gloomy token
#

As for the part of your question about 9√(2) and √(162): technically, both are correct, but it's nice when the number under the root is squarefree. So, I'd use 9√(2).

tame sapphire
#

alrighty, ive done it again

#

ive ended up with -81+9 root 2/ 79

sage burrow
tame sapphire
#

sending

gloomy token
sage burrow
#

Gj for getting it.

gloomy token
tame sapphire
#

thank youu soo much