91Ó°ÊÓ

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{4}{\sqrt{z}+8}\)

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

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{\sqrt{a}}{\sqrt{a}-2}\)

In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ -10+\sqrt[4]{n-2}=-8 $$

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ (x-\sqrt[4]{3 y})(2 x-\sqrt[4]{3 y}) $$

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[3]{\frac{1,000}{a^{3}},} a \neq 0 $$

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. $$ \sqrt{128 x^{2}} $$

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. $$ \sqrt{18 b^{2}}+\sqrt{800 b^{2}} $$

In \(11-38,\) evaluate each expression in the set of real numbers. $$ -\sqrt[4]{\frac{b^{8}}{1,296}}, b \geq 0 $$

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. $$ \sqrt{300 c} $$