## anonymous 5 years ago can someone please help me? i need to simplify this radical... square root of 15a^8 b

1. amistre64

take out all the perfect squares

2. amistre64

a^4 sqrt(15b)

3. anonymous

dont you first have to find out what perfect square number times a regular number wud give you 15?

4. anonymous

like there is no perfect square that can be multiplied to equal 15.

5. anonymous

$\sqrt{15a ^8b}$

6. amistre64

yes; 15 has no perfect square factors :)

7. anonymous

Okay. so what can i do?

8. amistre64

8/2 = 4 so pull out a^4

9. amistre64

sqrt(a^8) means a^8/2 :)

10. anonymous

so ull end up with $\sqrt{15a ^{4}}b$

11. amistre64

pull out the a's sqrt(a^8) = a^8/2 = a^4 a^4^2 = aa^8

12. amistre64

$a^4\sqrt{15b}$

13. anonymous

i got you.

14. anonymous

so that wud be you answer.

15. anonymous

your***?

16. amistre64

it would; yes

17. anonymous

thank you. so much.

18. amistre64

yw

19. anonymous

wait. one question. just wanted to be sure... $\sqrt[2]{1000}$ is 100 right?