Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √144+√25

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. $\sqrt{(-17{)}^2}$

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. √27

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{125x^2}$

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{10x}\cdot \sqrt{8x}$

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{2x^2}\cdot \sqrt{6x}$

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{6x}\cdot \sqrt{3x^2}$

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. $\sqrt{\frac{1}{49}}$

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. $\frac{\sqrt{150x^4}}{\sqrt{3x}}$

In Exercises 33–44, add or subtract terms whenever possible. 8√5+11√5

Add or subtract terms whenever possible. $3\sqrt{8} - \sqrt{32} + 3\sqrt{72} - \sqrt{75}$

Rationalize the denominator.

$\frac{1}{\sqrt7}$

Rationalize the denominator.

$\frac{\sqrt{2}}{\sqrt{5}}$

Evaluate each expression or indicate that the root is not a real number.

$\frac{\sqrt7}{\sqrt3}$

Rationalize the denominator.

$\frac{3}{3+\sqrt7}$

Rationalize the denominator. $\frac{7}{\sqrt{5} - 2}$

Rationalize the denominator.

$\frac{5}{\sqrt3-1}$

Rationalize the denominator.

$\frac{6}{\sqrt5+\sqrt3}$

Rationalize the denominator. $\frac{11}{\sqrt{7} - \sqrt{3}}$

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ³√8

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. $\sqrt[4]{-16}$

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. $\sqrt[6]{\frac{1}{64}}$

Add or subtract terms whenever possible. $4\sqrt[5]{2} + 3\sqrt[5]{2}$

Add or subtract terms whenever possible. √3+³√15

Evaluate each expression without using a calculator. 36^1/2

Evaluate each expression without using a calculator. 27^1/3

Evaluate each expression without using a calculator. 16^-6/2

Simplify using properties of exponents. $\frac{20x^{\frac{1}{2}}}{5x^{\frac{1}{4}}}$

Simplify using properties of exponents.$(x^{\frac{2}{3}}{)}^3$

Simplify by reducing the index of the radical. $\sqrt[4]{7^2}$