## miah Group Title what is 2√108 one year ago one year ago

1. merchandize

20.784

2. miah

simplified

3. garrett_payne

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

4. garrett_payne

get it?

5. miah

A: 12√3 B: 6√3 C: 144√3 D: 8√3

6. satellite73

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

7. miah

I dont know how to do that.

8. satellite73

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

9. satellite73

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

10. garrett_payne

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

11. satellite73

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

12. satellite73

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

13. miah

Thanks !