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Magazine Problem 28
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. $$ \sqrt{\frac{4 a^{3}}{27 b^{3}}} $$
Problem 29
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. $$ \sqrt[3]{54}+\sqrt[3]{128} $$
Problem 29
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{\sqrt{10}-1}{\sqrt{10}+1}\)
Problem 29
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{12 x y^{3}}(\sqrt{3 x y}+3) $$
Problem 29
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[3]{0.001} $$
Problem 29
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. $$ \sqrt{\frac{9}{50 x y^{7}}} $$
Problem 29
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. $$ \frac{\sqrt{64 x^{4}}+\sqrt[4]{40 x^{6}}}{\sqrt[4]{x^{6}}} $$
Problem 30
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. $$ \sqrt{\frac{8 x}{5 y^{3}}} $$
Problem 30
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[4]{0.0256} $$
Problem 30
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ \sqrt[3]{x}=2 $$
