# How do you solve sqrt( x+3)=5?

Jan 31, 2016

$x = 22$

#### Explanation:

Squaring both sides, We get $x + 3 = 25 \mathmr{and} x = 25 - 3 \mathmr{and} x = 22$ [Answer]

Jan 31, 2016

22 :)

#### Explanation:

We simply do a little algebraic techniques to solve for the value of $x$. First, we must remember the "Golden Rule of Algebra", what ever you do in the one side of the equation, you must do it in the other side of the equation. (Balancing).

$\sqrt{x + 3} = 5$

we need to isolate the value of $x$ to get its value,

to eliminate the square root sign, we need to square both sides, giving:

$x + 3 = 25$

to eliminate the 3 in the Left Side of the Equation, we need to minus $3$ in the both sides giving:

$x = 22$

hence, the answer and value of $x$ is $22$

Feb 1, 2016

$\sqrt{x + 3} = 5$

Square both sides to remove the radical sign:

$\rightarrow {\left(\sqrt{x + 3}\right)}^{2} = {5}^{2}$

$\rightarrow x + 3 = 25$

$\rightarrow x = 25 - 3 = 2$