Question 85790
Solve for x:
1)
{{{sqrt(x-2) = 1}}} Square both sides.
{{{x-2 = 1}}} Add 2 to both sides.
{{{x = 3}}}
2)
{{{sqrt(x^3) = 27}}} Is this supposed to be the square root or the cube root?
If it's the cube root, then evaluate cube root (x^3) = x.
{{{x = 27}}}
If it's the square root, then square both sides.
{{{x^3 = 729}}} Now take the cube root of both sides.
{{{x = 9}}}
3)
{{{3sqrt(x^2) = 9}}} Divide both sides by 3.
{{{sqrt(x^2) = 3}}} Evaluate {{{sqrt(x^2) = x}}}
{{{x = 3}}}