Question

Which expression is the simplified form of the square root of h to the eleventh power.?

h3the square root of h squared.

h10the square root of h.

h5the square root of h.

hthe square root of h to the fifth power.

Answer 1

well start by using some index laws

\[\sqrt{h} = h^{\frac{1}{2}}\]

so

\[(\sqrt{h})^{11} = (h^{\frac{1}{2}})^{11}\]

multiply the powers

\[h^{\frac{11}{2}}\]

now writing it in radical form its

\[\sqrt{h^{11}}= \sqrt{h^{10} \times h} = \sqrt{h^{10}} \times \sqrt{h} = h^{5} \times \sqrt{h}\]

hope it helps

Answer 2

it did thank you :)