Question

Срочно !!!! Помогите , пожалуйста !!!!

Answer 1

1
$sqrt{16*25}= sqrt{4^{2} 5^{2} } =4*5=20 sqrt{0,36*81}= sqrt{0,6^{2} 9^{2} } =0,6*9=5,4$
$sqrt{8} sqrt{50} = sqrt{ 2^{2}2 } sqrt{50}=2sqrt{2*50} 2 sqrt{100} =2 sqrt{ 10^{2} } =2*10=20$
$sqrt{5} * sqrt{45}= sqrt{5} sqrt{5*9} = sqrt{ 5^{2} 3^{2} } =5*3=15$
$sqrt{ frac{2}{5} } sqrt{2} sqrt{ frac{1}{5}}= sqrt{frac{2*2}{5*5}}= frac{2}{5}$
$sqrt{ frac{25}{64} } = sqrt{ frac{ 5^{2} }{ 8^{2} } } = frac{5}{8}$
$sqrt{2 frac{14}{25}}= sqrt{ frac{2*25+14}{5*5}}= frac{ sqrt{64} }{5} = frac{ sqrt{ 8^{2} } }{5} = frac{8}{5}=1 frac{3}{5}$
$frac{ sqrt{3}}{ sqrt{48}}= sqrt{ frac{3}{3*16} } = sqrt{ frac{1}{ 4^{2} } } = frac{1}{4}$
$frac{ sqrt{7,2}}{ sqrt{0,2}}= sqrt{ frac{72}{10}: frac{2}{10}} = sqrt{ frac{72}{2}}= sqrt{36}= sqrt{ 6^{2} } =6$
2
√45=√9*√5=3√5
√75=√25*√3=5√3
0,1√300=0,1√100√3=0,1*10√3=√3
3
3√11=√9*√11=√99
-10√5=-√100√5=-√500