Question

Rewrite the expression using a radical.

\[(4+x)^{\frac{3}{2}}\]

Answer 1

Remember when you have a fraction exponent like this:
\[x^{\frac{5}{3}} = \sqrt[3]{x^{5}}\]?

Answer 2

Yes...

Answer 3

\[\sqrt{(4+x)^3}\]

Answer 4

Is that it?

Answer 5

Yup :)

Answer 6

Do I have to expand it? Or how do I got about expanding it @Calcmathlete

Answer 7

I think that's fine? You can expand if you want, but I don't think so...

Answer 8

To expand it, you do this \[\sqrt{(4 + x)(4 + x)(4 + x)}\]and multiply polynomials.

Answer 9

There is no way I can go straight to the final answer?

Answer 10

\[\sqrt{4^3+48x+12x^2+x^3}\]

Answer 11

I got \[\sqrt{x^{3} + 12x^{2} + 48x + 64}\]

Answer 12

which is the same thing :).

Answer 13

Thanks for all your help!

Answer 14

np :)