91影视

In the following exercises, simplify using absolute values as necessary.

$鈸�\sqrt[3]{a^3}鈸�\sqrt[9]{b^9}$

In the following exercises, simplify.

$\frac{\sqrt{s}-\sqrt{6}}{\sqrt{s}+\sqrt{6}}$

In the following exercises, simplify.

$\frac{\sqrt{x}+\sqrt{8}}{\sqrt{x}-\sqrt{8}}$

In the following exercises, simplify.

$\frac{\sqrt{m}-\sqrt{3}}{\sqrt{m}+\sqrt{3}}$

(a) Simplify $\sqrt{\frac{27}{3}}$and explain all your steps.

(b) Simplify $\sqrt{\frac{27}{5}}$and explain all your steps.

(c) Why are the two methods of simplifying square roots different?

Explain what is meant by the word rationalize in the phrase, 鈥渞ationalize a denominator.鈥�

Explain why multiplying $\sqrt{2x-3}$

by its conjugate results in an expression with no radicals.

Explain why multiplying $\frac{7}{\sqrt[3]{x}}$by$\frac{\sqrt[3]{x}}{\sqrt[3]{x}}$

does not rationalize the denominator.

In the following exercises, solve.

$\sqrt{5x-6}=8$

In the following exercises, solve.

$\sqrt{4x-3}=7$