teddybearbloom13 2 years ago Which expression is the simplified form of the square root 338 times w to the eighteenth power.? 13w3the square root 2 times w. 2w9the square root 13 times w. 2w3the square root 13 times w. 13w9the square root of 2.

1. satellite73

how many times does 2 go in to 18 ?

2. satellite73

i.e. what is $$18\div 2$$ ?

3. satellite73

this is the easy part, the hard part is finding $$\sqrt{338}$$

4. teddybearbloom13

9

5. satellite73

ok so $$\sqrt{w^{18}}=w^9$$ is a start

6. satellite73

as for $$\sqrt{338}$$ it turns out that $$338=13\times 13\times 2$$ or $$13^2\times 2$$ that means $\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}$

7. satellite73

giving you a final answer of $$13w^9\sqrt{2}$$

8. satellite73

which i hope is one of your choices

9. teddybearbloom13

so a

10. satellite73

no

11. teddybearbloom13

then what ?

12. satellite73

looks like A is $$13w^3\sqrt{2}$$ which is not right

13. satellite73

find the one that looks like $$13w^9\sqrt{2}$$

14. teddybearbloom13

d

15. satellite73

okay pick that one

16. teddybearbloom13

thanks