91Ó°ÊÓ

Simplify by factoring. $$\sqrt{120}$$

Perform the indicated operation and simplify. Write each answer in the form \(a+b i\) $$ (-5-i)-(7+4 i) $$

Write an equivalent expression using exponential notation. $$ \sqrt[5]{x y^{2} z} $$

Perform the indicated operation and simplify. Write each answer in the form \(a+b i\) $$ -4 i(6-5 i) $$

Perform the indicated operation and simplify. Write each answer in the form \(a+b i\) $$ (6-5 i)(3+4 i) $$

Rationalize each denominator. Assume that all variables represent positive numbers. $$ \sqrt{\frac{9}{20 x^{2} y}} $$

Find the distance between each pair of points. Where appropriate, find an approximation to three decimal places. \((8.6,-3.4)\) and \((-9.2,-3.4)\)

Write an equivalent expression with positive exponents and, if possible, simplify. $$ 2 a b^{-1 / 2} c^{2 / 3} $$

Find the distance between each pair of points. Where appropriate, find an approximation to three decimal places. \((\sqrt{5},-\sqrt{3})\) and \((0,0)\)

Multiply and simplify. Assume that no radicands were formed by raising negative numbers to even powers. $$ \sqrt{18 a^{3}} \sqrt{18 a^{3}} $$