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Magazine Problem 32
Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$2 \sqrt{y}(\sqrt{y}-\sqrt{3})-\sqrt{y}(3 \sqrt{y}-4 \sqrt{3})$$
Problem 32
Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{x})^{2}$$
Problem 32
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. $$2(\sqrt{x}-\sqrt{y})-(4 \sqrt{x}-2 \sqrt{y})$$
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 33
Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$(\sqrt{11}+3)(\sqrt{11}-6)$$
Problem 33
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. $$\sqrt{50 m^{7} n^{11}}$$
Problem 33
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. $$\sqrt{8}+\sqrt{18}$$
Problem 33
Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{7})^{4}$$
Problem 33
Solve the given equation. $$6-\sqrt{a}=11$$
Problem 34
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. $$\sqrt{12}+\sqrt{27}$$
