# 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:

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:

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...ll variables represent positive real numbers.
Solution:

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 ...