Question

Помогите пожалуйста!

Answer 1

1.
$a) \sqrt{242} = \sqrt{121 \times 2} = 11 \sqrt{2} \\ b) \sqrt{2 \frac{39}{125} } = \sqrt{ \frac{289}{25 \times 5} } = \frac{17}{5 \sqrt{5} } = \frac{17 \sqrt{5} }{25} \\ c) \sqrt{50x} = \sqrt{25 \times 2x} = 5\sqrt{2x} \\ d) \sqrt{196 {x}^{4} {y}^{5} } = 14 {x}^{2} {y}^{2} \sqrt{y}$
2.
$a)4 \sqrt{6} = \sqrt{ {4}^{2} \times 6} = \sqrt{16 \times 6} = \sqrt{96} \\ b) - 5 \sqrt{10} = \sqrt{ { (- 5)}^{2} \times 10 } = \sqrt{25 \times 10} = \sqrt{250} \\ c)7b \sqrt{b} = \sqrt{ {(7b)}^{2} \times b} = \sqrt{49 {b}^{3} } \\ d)5 {y}^{4} \sqrt{ \frac{2y}{5} } = \sqrt{25 {y}^{8} \times \frac{2y}{5} } = \sqrt{ 10 {y}^{9} }$