Question

Задание написано на картинке

Answer 1

$1)\sqrt{52}=\sqrt{4*13}=\sqrt{4}*\sqrt{13}=2\sqrt{13}$

$2)\sqrt{112}=\sqrt{16*7}=4\sqrt{7}$

$3)\sqrt{500}=\sqrt{100*5}=10\sqrt{5}$

$4)\sqrt{0,45}=\sqrt{0,09*5}=0,3\sqrt{5}$

$5)\frac{1}{6}\sqrt{216}=\frac{1}{6}\sqrt{36*6}=\frac{1}{6}*6\sqrt{6}=\sqrt{6}$

$6)-1,2\sqrt{175}=-1,2\sqrt{25*7}=-1,2*5\sqrt{7}=-6\sqrt{7}$

$7)-15\sqrt{0,32}=-15\sqrt{0,16*2}=-15*0,4\sqrt{2}=-6\sqrt{2}$

$8)\frac{5}{8}\sqrt{5\frac{3}{25}}=\frac{5}{8}\sqrt{\frac{128}{25}}=\frac{5}{8}\sqrt{\frac{64*2}{25}}=\frac{5}{8}*\frac{8}{5}\sqrt{2}=\sqrt{2}$