When multiplying radicals, simply multiply the numbers inside the radical with each other. Therefore:

We cannot further simplify because both of the numbers multiplied with each other were prime numbers.

To get rid of the radical, we square both sides.

We can only combine radicals that are similar or that have the same radicand (number under the square root).

Combine like radicals:

We cannot add further.

Note that when adding radicals there is a 1 understood to be in front of the radical similar to how a whole number is understood to be "over 1".

Multiply by negative three on both sides.

Square both sides.

Add three on both sides.

Divide by negative seven on both sides.

The answer is:

Square both sides in order to eliminate the radical.

Add 5 on both sides.

Divide by negative two on both sides.

Reduce both fractions.

The answer is:

Cube both sides of the equation.

This will eliminate the radical on the left side.

Divide by three on both sides. This is similar to multiplying one-third on both sides.

The answer is:

Subtract eight from both sides.

Raise both sides by the power of four.

Divide both sides by three.

The answer is:

Subtract six from both sides.

Simplify both sides.

Cube both sides to eliminate the cube root.

Divide by three on both sides.

The answer is:

Add 7 on both sides.

Square both sides.

Simplify both sides of the equation.

Add 2 on both sides.

Divide by nine on both sides.

Reduce both fractions.

The answer is:

Add three on both sides.

Divide by 8 on both sides.

The answer is: