Question

Which statement is true about the product square root of 2(3square root of 2 + square root of 18)?

It is rational and equal to 12.
It is rational and equal to 18.
It is irrational and equal to 6 + 2square root of 18.
It is irrational and equal to 3 +square root of 18.

Answer 1

This expression?
\[\Large \sqrt{2}*\left(3\sqrt{2}+\sqrt{18}\right)\]

Answer 2

yes

Answer 3

\[\Large \sqrt{2}*\left(3\sqrt{2}+\sqrt{18}\right)\]
\[\Large \color{red}{\sqrt{2}*}\left(3\sqrt{2}+\sqrt{18}\right)\]
\[\Large \color{red}{\sqrt{2}*}3\sqrt{2}+\color{red}{\sqrt{2}*}\sqrt{18}\]
\[\Large 3*\sqrt{2}*\sqrt{2}+\sqrt{2}*\sqrt{18}\]
\[\Large 3*\sqrt{2*2}+\sqrt{2*18}\]
I'll let you finish up

Answer 4

what am i supposed to do now? I'm kinda confused

Answer 5

what is 2*2 equal to?
what is 2*18 equal to?

Answer 6

ohhh i understand thank you

Answer 7

I'm glad it makes sense now