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Problem 22

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. $$ x \sqrt{600}-2 \sqrt{24 x^{2}}+4 x \sqrt{96} $$

Problem 22

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. $$ \frac{\sqrt{48}+\sqrt{3}}{\sqrt{3}} $$

Problem 22

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{9}{\sqrt{7}+2}\)

Problem 22

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

Problem 22

In \(11-38,\) evaluate each expression in the set of real numbers. $$ -\sqrt[3]{125} $$

Problem 23

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt[3]{15 a^{2}} \cdot \sqrt[3]{9 a^{4}} $$

Problem 23

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. $$ \sqrt{\frac{1}{6 x y}} $$

Problem 23

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. $$ 2 \sqrt{3 y}-5 y^{2}+4 \sqrt{3 y}+\sqrt{36 y^{4}} $$

Problem 23

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

Problem 23

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. $$ \frac{\sqrt{10}+\sqrt{15}}{\sqrt{10}} $$

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