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Problem 55

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$\frac{\sqrt{x y^{3}}}{\sqrt{x^{3} y}}$$

Problem 55

Use a calculator to give decimal approximations rounded to one, two, and three places. $$\sqrt{17}$$

Problem 55

Simplify each expression as completely as possible. Be sure your answers are in simplest radical form. Assume that all variables appearing under radical signs are nonnegative. $$\frac{12}{5 \sqrt{6}}$$

Problem 55

In each of the following, perform the indicated operations and simplify as completely as possible. Assume all variables appearing under radical signs are non negative. $$x \sqrt{28 x y^{3}}+y \sqrt{63 x^{3} y}$$

Problem 56

In each of the following, perform the indicated operations and simplify as completely as possible. Assume all variables appearing under radical signs are non negative. $$b^{2} \sqrt{40 a^{5} b^{2}}+a \sqrt{90 a^{3} b^{6}}$$

Problem 56

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$\frac{\sqrt{3 a^{7}}}{\sqrt{27 a^{5}}}$$

Problem 56

Simplify each expression as completely as possible. Be sure your answers are in simplest radical form. Assume that all variables appearing under radical signs are nonnegative. $$\frac{24}{7 \sqrt{3}}$$

Problem 56

Use a calculator to give decimal approximations rounded to one, two, and three places. $$\sqrt{23}$$

Problem 57

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$\frac{\sqrt{a^{2} b^{5}}}{\sqrt{a b^{8}}}$$

Problem 57

Use a calculator to give decimal approximations rounded to one, two, and three places. $$\sqrt{110}$$

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