## anonymous 3 years ago what is 2√108

1. merchandize

20.784

2. anonymous

simplified

3. anonymous

bring 2 inside the square root $2=\sqrt{4}$ the $\sqrt{4*108}=\sqrt{432}=20.78$

4. anonymous

get it?

5. anonymous

A: 12√3 B: 6√3 C: 144√3 D: 8√3

6. anonymous

your job is to look for perfect squares that are factors of 108

7. anonymous

I dont know how to do that.

8. anonymous

since it is divisible both by 4 and by 9, it is divisible by 36

9. anonymous

in fact, $$108=36\times 3$$

10. anonymous

similar if you take out of the square root $\sqrt{432}= \sqrt{144*3}=12\sqrt{3}$

11. anonymous

so $\sqrt{108}=\sqrt{36\times 3}=\sqrt{36}\sqrt{3}=6\sqrt{3}$

12. anonymous

if your question is $2\sqrt{108}$ then the answer would be $12\sqrt{3}$

13. anonymous

Thanks !