Question

In the following exercises, solve.

$\sqrt{d}-2=\sqrt{d-20}$

Short answer

The solution is 36

Step-by-step solution

Step 1. Given Information

The given expression is

$\sqrt{d}-2=\sqrt{d-20}$

Step 2. Squaring on both sides

$$\begin{gathered} \sqrt{d}-2=\sqrt{d-20} \\ squaringonbothsides \\ d-4\sqrt{d}+4=d-20 \\ 24=4\sqrt{d} \\ \sqrt{d}=6 \\ Squaringonbothsides \\ d=36 \end{gathered}$$

The solution is 36

Step 3. The solution

The solution is$36$