# How do you solve the equation 3+5sqrtn=18?

Jan 31, 2017

$n = 9$

#### Explanation:

Solve $3 + 5 \sqrt{n} = 18$

Subtract $3$ from both sides.

$5 \sqrt{n} = 18 - 3$

$5 \sqrt{n} = 15$

Square both sides.

${5}^{2} {\left(\sqrt{n}\right)}^{2} = {15}^{2}$

Simplify.

$25 n = 225$

Divide both sides by $25$.

$n = 9$