Question 75599
#6
{{{sqrt(-121)=sqrt(121i^2) = sqrt((11i)^2)=11i}}}


#32
{{{sqrt(63)-2sqrt(28)+5sqrt(7)}}}
= {{{sqrt(9*7)-2sqrt(4*7)+5sqrt(7)}}}
= {{{sqrt(3^2*7)-2sqrt(2^2*7)+5sqrt(7)}}}
= {{{3sqrt(7)-2*2sqrt(7)+5sqrt(7)}}}
= {{{3sqrt(7)-4sqrt(7)+5sqrt(7)}}}
= {{{(3-4+5)sqrt(7)}}}
= {{{4sqrt(7)}}}


#48
{{{sqrt(12x^3/5)}}}
= {{{(12x^3/5)^(1/2)}}}
= {{{(4*3x^3/5)^(1/2)}}}
= {{{2(3x^3/5)^(1/2)}}}
= {{{2sqrt(3/5)x^(3/2)}}}