91Ó°ÊÓ

In \(3-29\) write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \frac{3 \sqrt{10}-9 \sqrt{50}}{3 \sqrt{5}} $$

In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ x=\sqrt{4 x+5} $$

In \(15-26,\) find and graph the solution set of each inequality. $$ |-5-a| > 4 $$

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[3]{27} $$

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ 7 \sqrt{a} \cdot 5 \sqrt{\frac{a}{9}} $$

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{4}{4+\sqrt{7}}\)

In \(3-38\) write each expression in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \sqrt{\frac{1}{2 x}}+\sqrt{\frac{1}{2 x}} $$

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[4]{16} $$

In \(3-29\) write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \frac{\sqrt{72}+\sqrt{54}}{\sqrt{18}} $$

In \(3-38\) , write each radical in simplest radical form. Variables in the radicand of an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \sqrt{\frac{6}{81 y^{6}}} $$