Question

(√80-√125)×√60
решите плиз срочно полностью решение!!!

Answer 1

$sqrt{80}=sqrt{16*5}=sqrt{16}*sqrt{5}=4sqrt{5}\sqrt{125}=sqrt{25*5}=sqrt{25}*sqrt{5}=5sqrt{5}\sqrt{80}-sqrt{125}=4sqrt{5}-5sqrt{5}=-sqrt{5}\(-sqrt{5})*sqrt{60}=-sqrt5*sqrt{5*4*3}=-sqrt{5}*sqrt{5}*sqrt{4}*sqrt{3}=\=-(sqrt{5})^2*2*sqrt{3}=-5*2*sqrt{3}=-10sqrt{3}$

Ответ: $-10sqrt{3}$