Question 162768
1)
3b(27a^5b)^(1/2)+2a(3a^3b^3)^(1/2)
3b((3*9)a^5b)^1/2+...
9b(sqrt(3)a^2.5b^.5)+...
9sqrt(3)a^2.5b^1.5...
...2a(sqrt(3)a^1.5b^1.5)
...2sqrt(3)a^2.5b^1.5
=11sqrt(3)a^2.5b^1.5
.
2)
3/(sqrt(5)-2)
={{{(3/(sqrt(5)-2))* ((sqrt(5)+2)/(sqrt(5)+2))}}}
=(3sqrt(5)+6)/(5-4)
=3sqrt(5)+6
.
3)
{{{SQRT(x + 4) = SQRT(x) - 2}}}
x+4=x-4sqrt(x)+4 Square each side.
-4sqrt(x)=0
16x=0 square each side
x=0
replace x with zero in the equation. It is not an equation. There is no answer.
.
Ed