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Magazine Problem 37
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[k]{1}, k \text { an integer greater than } 2 $$
Problem 37
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. $$ \sqrt{50 x^{3}}+\sqrt{200 x^{3}} $$
Problem 37
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{2 \sqrt{a}}{\sqrt{b}}+\frac{2 \sqrt{b}}{\sqrt{a}}\)
Problem 37
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ \sqrt{x+4}-\sqrt{x-1}=1 $$
Problem 37
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ (a+\sqrt{b})(a-\sqrt{b}) $$
Problem 37
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. $$ \sqrt[4]{\frac{2 a^{8}}{b^{2} c^{3}}} $$
Problem 38
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ \sqrt{5 x}-\sqrt{x+4}=3 $$
Problem 38
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{3}{x+\sqrt{2}}+\frac{5}{\sqrt{x}}\)
Problem 38
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[k]{x^{2 k}}, k \text { an integer greater than } 2 $$
Problem 38
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. $$ \sqrt{49 x^{3}}-2 x \sqrt{4 x} $$
