Question

What is the following product? Square root 12 times sqrt 18

Answer 1

This is the same as $\sqrt{12*18} = \sqrt{216}$
$\sqrt{9*24} = \sqrt{9*4*6}$
9 and 4 are squares so take them out
$3*2* \sqrt{6}$
$6 \sqrt{6}$

Answer 2

Hello! Okay let me start off by explaining to how you can simplify a square root...

Let's take √12 for instance...

the factors of this number are 2, 3, 4, and 6 .... and out of these 4 numbers there is one perfect square, which is 4

so you can split √12 into ---> √4 and √3  ..... these would then simplify into 2√3
because the 4 is square rooted

now by doing the same to √18 we get ----> √9 * √2 ---->  3√2

Before we multiply the square roots we must remember that numbers underneath the square root can only be multiplied with other numbers underneath a square root....
so...

2√3 * 3√2
(2 * 3) * (√3 * √2)
6√6   <----------------------- This is your final answer!

I hope this helps! :D

Please vote me for Brainliest if there is a second answer!