Question 33345
I have already solved those problems before...
square root[144x^10y^12z^18] 
{{{sqrt((12)^2(x^5)^2(y^6)^2(z^9)^2))}}}
{{{12(x^5)(y^6)(z^9)}}}

square root[50]+2 square root[32]-  square root[8] 
{{{sqrt(50)}}}+2{{{sqrt(32)}}}-{{{sqrt(8)}}}
{{{sqrt(25*2)}}}+2{{{sqrt(16*2)}}}-{{{sqrt(4*2)}}}
{{{5*sqrt(2)}}}+{{{2*4(sqrt(2))}}}-{{{2(sqrt(2))}}}
{{{sqrt(2)*(5+8-2)}}}
{{{11*(sqrt(2))}}}

(5{{{sqrt(2)}}}+3)({{{sqrt(2)- 2(sqrt(3))}}})
5(2)+3{{{sqrt(2)}}}-10{{{sqrt(6)}}}-6{{{sqrt(3)}}}
10 +3{{{sqrt(2)}}}-10{{{sqrt(6)}}}-6{{{sqrt(3)}}}