Question

10 = x*sqrt2 - x

Answer 1

factor out x on the right side...what do you have?

Answer 2

10 = x(sqrt2 - 1)
Does that help me?

Answer 3

divide both sides by \(\sqrt 2 - 1\) to isolate x

Answer 4

then there's your answer...just use a calculator if needed

Answer 5

thanks! but if I needed to get rid of the sqrt2 in the denominator, how would I do that?

Answer 6

ahh good question...

10/(sqrt 2 - 1) is what you'll have right? multiply by a conjugat which is (sqrt 2 + 1)

\[\frac{10}{\sqrt 2 - 1} \times \frac{\sqrt 2 + 1 }{\sqrt 2 + 1}\]

notice how you'll have a difference of two squares in your denominator then?

Answer 7

Ahhh, thank you so much!