Question

Simplify the square root of 81y^5

Answer 1

remember
√(xy)=(√x)(√y)
and
x^(m+n)=(x^m)(x^n)
√(81y^5)=
(√81)(√y^2)(√y^2)(√y)=
(9)(y)(y)(√y)=
9y^2√y

Answer 2

`\sqrt{81 y^(5) } = √(81) ( y^(5) )^{ (1)/(2) } =9 y^{ (5)/(2) }`