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