Chapter 10.3, Problem 15E

To determine

To solve the equation.

Answer to Problem 15E

  $x=60$

Explanation of Solution

Given information: $2\sqrt{x+4}=16$

Formula Used: Simplify.

Calculation:

  $2\sqrt{x+4}=16$

Now,

  $\sqrt{x+4}=\frac{16}{2}$

So, simplify

  $\sqrt{x+4}=8$

Now, squaring both sides

  ${\left(\sqrt{x+4}\right)}^2={\left(8\right)}^2$

So, simplify

  $x+4=8\times 8$

So,

  $x+4=64$

Now,

  $x=64-4$

Hence,

  $x=60$