근호를 포함한 식의 계산

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.

Explain the process for determining whether two radicals are like or unlike. Make sure your answer makes sense for radicals containing both numbers and variables.

Simplify: $(3u)(8v)$.

Simplify: $6(12-7n)$.