91Ó°ÊÓ

Which is the greatest perfect square factor of \(128 ?\) A. 12 B. 16 C. 32 D. 64

Match each part of a rule for a special product in Column I with the part it equals in Column II. Assume that A and B represent positive real numbers. I $$ (x+\sqrt{y})(x-\sqrt{y}) $$ II A. \(x-y\) B. \(x+2 y \sqrt{x}+y^{2}\) C. \(x-y^{2}\) D. \(x-2 \sqrt{x y}+y\) E. \(x^{2}-y\) F. \(x+2 \sqrt{x y}+y\)

Which is the greatest perfect cube factor of \(81 a^{7} ?\) A. \(8 a^{3}\) B. \(27 a^{3}\) C. \(81 a^{6}\) D. \(27 a^{6}\)

List all of the following sets to which each number belongs. A number may belong to more than one set. real numbers pure imaginary numbers nonreal complex numbers complex numbers $$-7 i$$

When approximating \(\sqrt{19}\) to three decimal places, a student incorrectly rounded as follows. $$ \begin{array}{l} \sqrt{19} \approx 4.358898944 \\ \sqrt{19} \approx 4.358 \end{array} $$ Give the correct approximation.

Decide whether each expression is equal to \(1,-1, i,\) or \(-i .\) $$-\sqrt{-1}$$

Choose the closest approximation of each square root. Do not use a calculator. \(\sqrt{123}\) A. 9 B. 10 C. 11 D. 12

Write each number as a product of a real number and i. Simplify all radical expressions. $$-\sqrt{-196}$$

Evaluate each exponential. $$ \left(\frac{8}{27}\right)^{1 / 3} $$

Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. \(\sqrt[4]{32}+3 \sqrt[4]{2}\)