Question

Помогите решить за 35 баллов

Answer 1

$\sqrt{50}=\sqrt{25\cdot 2}=5\sqrt2\\\\\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt3\\\\\sqrt{288}=\sqrt{144\cdot 2}=12\sqrt2\\\\\sqrt{147x^4}=|x^2|\cdot \sqrt{49\cdot 3}=7x^2\sqrt{3}\\\\\sqrt{175}=\sqrt{25\cdot 7}=5\sqrt7\\\\\sqrt{\dfrac{108}{144}}=\sqrt{\dfrac{36\cdot 3}{12^2}}=\dfrac{6\sqrt3}{12}=\dfrac{\sqrt3}{2}\\\\\\\sqrt{128}=\sqrt{2^7}=\sqrt{2^6\cdot 2}=2^3\sqrt2=8\sqrt2$

$\sqrt{500}=\sqrt{100\cdot 5}=10\sqrt5\\\\\sqrt{243}=\sqrt{3^5}=\sqrt{3^4\cdot 3}=3^2\sqrt3=9\sqrt3\\\\\sqrt{7,22}=\sqrt{3,61\cdot 2}=1,9\sqrt2\\\\\sqrt{180}=\sqrt{36\cdot 5}=6\sqrt5\\\\\sqrt{\dfrac{36}{50}}=\dfrac{6}{\sqrt{25\cdot 2}}=\dfrac{6}{5\sqrt2}=\dfrac{6\sqrt2}{10}=\dfrac{3\sqrt2}{5}$