Question

Simplify the radical. Assume that all variables represent positive numbers.

√36a^15

How do you solve this?

Answer 1

6a^15

Explanation:

• Using radical rule,

`\sqrt{36a^(15)}=√(36)\sqrt{a^(15)}\\√(36)\sqrt{a^(15)}`

• Next, define each square root. Re-apply the radical rule.

`√(36) = 36/ 6\\ √(36) = 6\\= 6\sqrt{a^(15)}\\\sqrt{a^(15)}\\\mathrm{\left(Applying\:radical\:rule:\right)}\\= a^7√(a)\\=6a^7√(a)`

Hope this helps!

Answer 2

I think it’s 6 | a^7 | √a

I hope this helps