How do you simplify \sqrt { 49a ^ { 15} }?

1 Answer
May 1, 2018

7a^7.5

Explanation:

As 49=7*7=7^2,
sqrt49 = 7
And sqrt (a^15)= sqrt(a^14)*sqrta=a^7sqrta=a^7.5
Multiplying the two, we get
sqrt (49a^15)= 7a^7sqrta=7a^7.5
I think both 7a^7sqrta and 7a^7.5 would be acceptable, and I cannot see any more simplification than this.