Question

Сравните : 7√1/7 и 1/2 √20

Answer 1

1/2*sqrt(4*5)=1/2*2sqrt(5)=sqrt(5)

7*sqrt(1/7)=sqrt(7)

sqrt(7)>sqrt(5)

Answer 2

$1) 7*sqrt{frac{1}{7}}=7*7^{-frac{1}{2}}=7^frac{1}{2}=sqrt{7}$

$2)<var>frac{1}{2}*sqrt{20}=frac{1}{2}*2*sqrt{5}=sqrt{5}</var>$

 

Ответ: $sqrt{7}>sqrt{5}$