I have a few square root simplification questions....
Can the square roots of 20, 29, 37,0, 100, 25,and 45? Any help will be greatly appreciated:D

Question

I have a few square root simplification questions....
Can the square roots of 20, 29, 37,0, 100, 25,and 45? Any help will be greatly appreciated:D

anonymous · Answer

So for instance, you're looking for like the sqrt(20) = 2sqrt(5) ?

rositaluv · Answer

I had to use the distance formula and i was told to write it as a square root. I  did that. Now I just need some help checking if they can be simplified.

anonymous · Answer

Look for factors which are perfect squares...for instance 4,8,16,25,etc.

anonymous · Answer

4,9* my bad

anonymous · Answer

25 and 100 are perfect squares already

anonymous · Answer

Oh, no problem. Simply look at the numbers you have here and if you can find two numbers that multiply together to give you the number (one being a perfect square) then it can be simplified.
20:
$$2\sqrt{5}$$ 29:
cannot be simplified
37:
cannot be simplified
100:
10*10 = 100 so the answer is 10
25:
5*5 = 25 so the answer is 5
45:
$$3\sqrt{5}$$

rositaluv · Answer

ohh ok i get it.....and i just do that for every one?

anonymous · Answer

Yup! So like, if you saw 90, you would say "okay 9*10 is 90 and 9 is a perfect square." So then you rewrite your square root as sqrt(9*10) which is 3sqrt(10)

rositaluv · Answer

so what would i write for 45 again?

anonymous · Answer

45 = 9*5 so 3sqrt(5)