# How do you solve sqrt(c+10)=4 and check your solution?

Jun 20, 2017

Eliminate the radical by squaring both sides of the equation.

Solve for c.

Substitute the value of c into the original equation.

#### Explanation:

Given: $\sqrt{c + 10} = 4$

Square both sides:

$c + 10 = 16$

Subtract 10 from both sides:

$c = 6$

Substitute 6 into the original equation:

$\sqrt{6 + 10} = 4$

$\sqrt{16} = 4$

$4 = 4$

This checks.