## anonymous 5 years ago how do i do radicals?

1. anonymous

$\sqrt{100}$

2. anonymous

Okay, so you know that 100 is a perfect square. 10 * 10 = 100, so you know that it's √10^2. Then, because you know that the square root basically asks "What times itself will give you this value?", we can infer that the square root of 100 is 10.

3. anonymous

thanks so much!! i missed my math class. what about $-\sqrt{144a ^{2}}$

4. anonymous

Since we know that a basic principle of roots is that √ab = √a•√b, we can break it down into -√144*√a^2. Now, the root in front of 144 is asking "What multiplied by itself will give you 144?" That is 12, because 12*12 = 144. So, we're now left with -12√a^2. So, because a^2 = a*a, we end up getting that √a^2 = a. So, after all is said and done, we have -12a. Do you understand now? :)

5. anonymous

Thanks so much! I totally understand now! You should become a math teacher (if you are not one)!