Question

1.5. Вычислите: 1) √900; 2) √2500; 25 6) √0,04; 7) 3) √0,01; 81 49 8) 4) √√6,25; 9) 5)√1,44; 10) 24 25​

Answer 1

Ответ:

Применяем правила:   $\bf \sqrt{ab}=\sqrt{a}\cdot \sqrt{b}\ \ \ ,\ \ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}$   .

$\sqrt{900}=\sqrt{9\cdot 100}=3\cdot 10=30\\\\\sqrt{2500}=\sqrt{25\cdot 100}=5\cdot 10=50\\\\\sqrt{0,04}=\sqrt{4:100}=2:10=0,2\\\\\sqrt{0,01}=\sqrt{1:100}=1:10=0,1\\\\\sqrt{6,25}=\sqrt{625:100}=25:10=2,5\\\\\sqrt{1,44}=\sqrt{144:100}=12:10=1,2$