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Magazine Problem 92
Rewrite radical in exponential form, then simplify. Write the answer in simplest (or radical) form. Assume all variables represent nonnegative real numbers. \(\sqrt[9]{8^{3}}\)
Problem 93
Rationalize the denominator and simplify completely. Assume the variables represent positive real numbers. $$\frac{\sqrt{x}+\sqrt{y}}{\sqrt{x}-\sqrt{y}}$$
Problem 93
Perform the indicated operation and simplify. Assume all variables represent positive real numbers. $$\sqrt{5} \cdot \sqrt{10}$$
Problem 93
Rewrite radical in exponential form, then simplify. Write the answer in simplest (or radical) form. Assume all variables represent nonnegative real numbers. \(\sqrt[6]{1000^{2}}\)
Problem 94
Rationalize the denominator and simplify completely. Assume the variables represent positive real numbers. $$\frac{\sqrt{f}-\sqrt{g}}{\sqrt{f}+\sqrt{g}}$$
Problem 94
Perform the indicated operation and simplify. Assume all variables represent positive real numbers. $$\sqrt{8} \cdot \sqrt{6}$$
Problem 94
Rewrite radical in exponential form, then simplify. Write the answer in simplest (or radical) form. Assume all variables represent nonnegative real numbers. \(\sqrt[4]{81^{2}}\)
Problem 95
Simplify completely. $$\frac{5+10 \sqrt{3}}{5}$$
Problem 95
Rewrite radical in exponential form, then simplify. Write the answer in simplest (or radical) form. Assume all variables represent nonnegative real numbers. \((\sqrt{5})^{2}\)
Problem 95
Perform the indicated operation and simplify. Assume all variables represent positive real numbers. $$\sqrt{21} \cdot \sqrt{3}$$
