Question

Найдите значение выражения : 
√2 дробь√18

√27*√3 


√52 дробь √117





решите уравнение:

√ из х-1 =3

Answer 1

$frac{ sqrt{2} }{ sqrt{18} } = sqrt{ frac{2}{18} }= sqrt{ frac{1}{9} } = frac{1}{3} \ sqrt{27} cdotsqrt{3} = sqrt{27cdot3} = sqrt{81} =9 \ frac{ sqrt{52} }{ sqrt{117} } = sqrt{ frac{52}{117} } = sqrt{ frac{4}{9} } = frac{2}{3}$

$sqrt{x-1}=3 \ x-1=3^2 \ x-1=9 \ x=10$

Answer 2

$1)frac{sqrt2}{sqrt{18}}=frac{sqrt2}{sqrt{9*2}}=frac{sqrt2}{3sqrt{2}}=frac13\ \ 2) sqrt{27}*sqrt3=sqrt{9*3}*sqrt3=3sqrt3*sqrt3=3*(sqrt3)^2=3*3=9\ \ 3)frac{sqrt{52}}{sqrt{117}}=frac{sqrt{52}}{sqrt{2.25*52}}=frac{sqrt{52}}{1.5sqrt{52}}=frac1{1.5}=frac23\ \ 4)sqrt{x-1}=3\ x-1=3^2\ x-1=9\ x=9+1\ x=10$