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Magazine 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 25
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{\sqrt{5 x}}{\sqrt{5 x}-2}\)
Problem 26
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{5}(1-\sqrt{10}) $$
Problem 28
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. $$ \sqrt[3]{2}+\sqrt[3]{16} $$
Problem 28
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{5 a}(\sqrt{5 a}-3) $$
Problem 31
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. $$ \sqrt{0.5} $$
Problem 35
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. $$ \sqrt{300 c} $$
Problem 35
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ (\sqrt{6}+6)(\sqrt{6}-7) $$
Problem 39
The lengths of the legs of a right triangle are 8 centimeters and 12 centimeters. Express the length of the hypotenuse in simplest radical form.
Problem 39
In \(39-42,\) find the set of real numbers for which the given radical is a real number. $$ \sqrt{x-2} $$
