91Ó°ÊÓ

In Exercises \(1-24\), rationalize each denominator. If possible, simplify the rationalized expression by dividing the numerator and denominator by the greatest common factor. $$\begin{aligned} &\frac{\sqrt{7}}{\sqrt{5}}\\\ &2 \end{aligned}$$

Simplify by first writing the expression in radical form. If applicable, use a calculator to verify your answer. $$9^{\frac{3}{2}}$$

Evaluate each expression, or state that the expression is not a real number. $$\sqrt{144+25}$$

Add or subtract as indicated. If terms are not like radicals and cannot be combined, so state. $$4 \sqrt{11}-6 \sqrt{11}+2 \sqrt{11}$$

In Exercises \(15-54\), simplify each expression. If the expression cannot be simplified, so state. $$\sqrt{75 x}$$

Simplify by first writing the expression in radical form. If applicable, use a calculator to verify your answer. $$16^{\frac{3}{2}}$$

Add or subtract as indicated. If terms are not like radicals and cannot be combined, so state. $$7 \sqrt{17}-10 \sqrt{17}+3 \sqrt{17}$$

In Exercises \(1-24\), rationalize each denominator. If possible, simplify the rationalized expression by dividing the numerator and denominator by the greatest common factor. $$\frac{\sqrt{11}}{\sqrt{5}}$$

In Exercises \(15-54\), simplify each expression. If the expression cannot be simplified, so state. $$\sqrt{40 x}$$

Evaluate each expression, or state that the expression is not a real number. $$\sqrt{25-16}$$