Question

How do you simplify `sqrt(3a^7)`?

Answer 1

Distribute the square root and simplify.

Explanation:

We can rewrite the expression as `sqrt(3)sqrt(a^7)`, then we can express the square root as a exponent, so the expression becomes `sqrt(3)(a^7)^(1/2)`, we can now multiply both exponents of a to obtain a single exponent, the expression becomes `sqrt(3)(a^(7/2))`

Answer 2

See below.

Explanation:

If you have not learned fractional exponents before, then in your case, `3a^7` would be simplified differently.

`sqrt(3 * a * a^3 * a^3)`
`a^3 sqrt(3a)`

This would be your answer.