Question

What is the value of√9

Answer 1

In order to solve this exercise, you need to remember the following property for Radicals:

`\sqrt[n]{a}^n=a`

Notice that the Index "n" of the root and the exponent "n" inside the root are equal.

In this case you need to descompose the Radicand 9 into its Prime factors:

`9=3\cdot3`

According to the Product of powers property, when you multiply powers with the same base, you must copy the base and add the exponents. Then:

`9=3^2`

Rewrite the Radical and simplify:

`\sqrt[]{9}=\sqrt[]{3^2}=3`

The answer is:

`=3`