Question

In the following exercises, solve.

$\sqrt{a}+1=\sqrt{a+5}$

Short answer

The solution is$4$

Step-by-step solution

Step 1. Given information 

The given expression is$\sqrt{a}+1=\sqrt{a+5}$

Step 2. Squaring on both side

$$\begin{gathered} \sqrt{a}+1=\sqrt{a+5} \\ squaringonbothside \\ {\left(\sqrt{a}+1\right)}^2={\left(\sqrt{a+5}\right)}^2 \\ a+2\sqrt{a}+1=a+5 \\ 2\sqrt{a}=4 \\ Squaringonbothside \\ 4a=16 \\ a=4 \end{gathered}$$

The solution is$4$

Step 3. The solution

The solution is$4$