Question

Simplify the radical √a^3

Answer 1

a^3/2

Answer 2

?

Answer 3

a^(1.5)=a*sqrta

Answer 4

a√a
a
a√a^2
a^2

Answer 5

those are the answers

Answer 6

first option is the answer

Answer 7

\(\sqrt{a^3}=\sqrt{a^2}\times\sqrt{a}=a\times\sqrt{a}=a\sqrt{a}\)

Answer 8

Just break down what is under the radical into a product of the part that is a perfect square (anything that can be written with an even exponent), and the part that isn't.

so \(\Large a^3=a^2 \cdot a\)

and the square root of the perfect square "piece" gets to come outside the radical, the stuff that isn't a perfect square has to stay where it is. :)