Answer
The equation has no solution.
Work Step by Step
The given equation is
$\Rightarrow \sqrt{3m}+10=1$
Subtract $10$ from each side.
$\Rightarrow \sqrt{3m}+10-10=1-10$
Simplify.
$\Rightarrow \sqrt{3m}=-9$
Square each side of the equation.
$\Rightarrow (\sqrt{3m})^2=(-9)^2$
Simplify.
$\Rightarrow 3m=81$
Divide each side $3$.
$\Rightarrow m=27$
Check $m=27$.
$\Rightarrow \sqrt{3m}+10=1$
$\Rightarrow \sqrt{3(27)}+10=1$
$\Rightarrow \sqrt{81}+10=1$
$\Rightarrow 9+10=1$
$\Rightarrow 19=1$
False.
Hence, the equation has no solution.
