Question

 $( sqrt{3frac{6}{7}}-sqrt{1frac{5}{7}}) : sqrt{frac{3}{28}}$

 

 

Найти значение выражения.

 

 

Answer 1

$frac{sqrt{3frac{6}{7}}-sqrt{1frac{5}7}}{sqrt{frac{3}{28}}}=frac{sqrt{frac{27}{7}}}{sqrt{frac{3}{28}}}-frac{sqrt{frac{12}{7}}}{sqrt{frac{3}{28}}}=\\=sqrt{frac{frac{27}{7}}{frac{3}{28}}}-sqrt{frac{frac{12}{7}}{frac{3}{28}}}=sqrt{frac{28*27}{3*7}}-sqrt{frac{28*12}{3*7}}=\\=sqrt{9*4}-sqrt{4*4}=sqrt{36}-sqrt{16}=6-4=2.$