Question

What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x

Answer 1

c.
`x^7\sqrt x`

Explanation:

Find the largest square factor of
`x^(15)`, which is
`x^(14)=(x^7)^2`. This gives
`\sqrt{x \cdot (x^7)^2`. Taking the square factor out gives
`x^7 \sqrt x`, or choice c.