In order to simplify this radical, rewrite the radical using common factors.

Simplify the square roots.

Multiply the terms inside the radical.

The answer is:

To simplify , find the common factors of both radicals.

Sum the two radicals.

The answer is:

Begin by getting a prime factor form of the contents of your root.

Applying some exponent rules makes this even faster:

Put this back into your problem:

Returning to your radical, this gives us:

Now, we can factor out sets of and set of . This gives us:

Begin by factoring the contents of the radical:

This gives you:

You can take out group of . That gives you:

Using fractional exponents, we can rewrite this:

Thus, we can reduce it to:

Or:

In order to simplify the radical, we will need to pull out common factors of possible perfect squares.

The expression becomes:

The radical 14 does not have any common factors of perfect squares.

The answer is:

Multiply the integers outside of the radical.

Multiply all the values inside the radicals to combine as one radical.

Rewrite the radical using factors of perfect squares.

The answer is:

To take the cube root of the term on the inside of the radical, it is best to start by factoring the inside:

Now, we can identify three terms on the inside that are cubes:

We simply take the cube root of these terms and bring them outside of the radical, leaving what cannot be cubed on the inside of the radical.

Rewritten, this becomes

Multiply the integers and the value of the square roots to combine as one radical.

Simplify the radical. Use factors of perfect squares to simplify root 300.

The answer is:

Multiply the radicals.

Simplify this by writing the factors using perfect squares.

Multiply this with the integers.

The answer is:

Simplify both radicals by rewriting each of them using common factors.

Multiply the two radicals.

The answer is: