수와 연산 전체 문제

Mixed Practice

$\frac{2}{3}\sqrt{27}+\frac{3}{4}\sqrt{48}$

Mixed Practice

$\sqrt{175{k}^{4}}-\sqrt{63{k}^{4}}$

Mixed Practice

$\frac{5}{6}\sqrt{162}+\frac{3}{16}\sqrt{128}$

Mixed Practice

$\sqrt{150}+4\sqrt{6}$

Mixed Practice

$9\sqrt{2}-8\sqrt{2}$

Mixed Practice

$5\sqrt{x}-8\sqrt{y}$

Mixed Practice

$8\sqrt{13}-4\sqrt{13}-3\sqrt{13}$

Mixed Practice

$5\sqrt{12{c}^{4}}-3\sqrt{27{c}^{6}}$

Mixed Practice

$\sqrt{80{a}^{5}}-\sqrt{45{a}^{5}}$

Mixed Practice

$\frac{3}{5}\sqrt{75}-\frac{1}{4}\sqrt{48}$

Mixed Practice

$21\sqrt{19}-2\sqrt{19}$

Mixed Practice

$\sqrt{500}+\sqrt{405}$

Mixed Practice

$\frac{5}{6}\sqrt{27}+\frac{5}{8}\sqrt{48}$

Mixed Practice

$11\sqrt{11}-10\sqrt{11}$

Mixed Practice

$\sqrt{75}-\sqrt{108}$

Mixed Practice

$2\sqrt{98}-4\sqrt{72}$

Mixed Practice

$4\sqrt{24{x}^{2}}-\sqrt{54{x}^{2}}+3x\sqrt{6}$

Mixed Practice

$8\sqrt{80{y}^{6}}-6\sqrt{48{y}^{6}}$

A decorator decides to use square tiles as an accent strip in the design of a new shower, but she wants to rotate the tiles to look like diamonds. She will use 9 large tiles that measure 8 inches on a side and 8 small tiles that measure 2 inches on a side. Determine the width of the accent strip by simplifying the expression $9\left(8\sqrt{2}\right)+8\left(2\sqrt{2}\right)$. (Round to the nearest tenth of an inch.)

Explain the difference between like radicals and unlike radicals. Make sure your answer makes sense for radicals containing both numbers and variables.