# Variables represent positive real numbers

Write the following expression in simplified radical form.

Assume that all variables represent positive real numbers

Simplify the following expression as much as possible:

Assume that all variables represent positive real numbers.

Simplify.

Assume that all variables represent positive real numbers.

Solution:

Multiply. Simplify your answer as much as possible.

Write in simplified radical form by rationalizing the denominator.

Solve for :

,

where is a real number.

(If there is more than one solution, separate them with commas.)

Solution:

Find the roots of the quadratic equation:

.

(If there is more than one root, separate them with commas.)

Solution:

(If there is more than one solution, separate them with commas.)

Solution:

We can write it as

Solve the following equation for by using the quadratic formula:

.

(If there is more than one solution, separate them with commas.)

Solution:

#### Solution Preview

...ll variables represent positive real numbers.

Solution:

Multiply. Simplify your answer as much as possible.

Solution:

Write in simplified radical form by rationalizing the denominator.

Solution:

Solve for :

,

where is a real number.

(If there is more than one solution, separate them with commas.)

Solution:

Square each side, we ...