Problem 11
Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$\sqrt{3}(\sqrt{5}+\sqrt{6})$$
Problem 32
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. $$\sqrt{4 x^{10} y^{7}}$$
Problem 39
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. $$\sqrt{\frac{4}{9}}$$
Problem 43
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. $$\sqrt{\frac{5}{6}}$$
Problem 43
Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{25-9})^{2}$$
Problem 45
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. $$8 \sqrt{25}-3 \sqrt{21}$$
Problem 48
Use a calculator to find the following square roots. Round off your answers to the nearest hundredth. $$\sqrt{730}$$
Problem 50
Use a calculator to find the following square roots. Round off your answers to the nearest hundredth. $$\sqrt{58.9}$$
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 56
Use a calculator to give decimal approximations rounded to one, two, and three places. $$\sqrt{23}$$