Question

Найдите квадратные корни из следующих чисел

Answer 1

$\sqrt{10000} = \sqrt{10^4} =10^2 = 100 \\ \\ \sqrt{3600} = \sqrt{36*100} = \sqrt{6^2 *10^2} = 6* 10 = 60 \\ \\ \sqrt{640000} = \sqrt{64*10000} = \sqrt{8^2 * 10^4} = 8 *10^2 = 800 \\ \\ \sqrt{1000000} = \sqrt{10^6} =10^3 = 1000 \\ \\ \sqrt{ \frac{1}{4} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{ \sqrt{2^2} } = \frac{1}{2} \\ \\ \sqrt{ \frac{1}{9} } = \frac{ \sqrt{1} }{ \sqrt{9} } = \frac{1}{ \sqrt{3^2} } = \frac{1}{3}$
$\sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{ \sqrt{5^2} }{ \sqrt{6^2} } = \frac{5}{6} \\ \\ \sqrt{ \frac{16}{49} } = \frac{ \sqrt{16} }{ \sqrt{49} } = \frac{ \sqrt{4^2} }{ \sqrt{7^2} } = \frac{4}{7}$