Question

Помогите пожалуйста!

Answer 1

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