Question

Describe how you could use inverse operations to solve the equation √(x) = 4.

Answer 1

To solve the equation √(x) = 4, square both sides to get rid of the square root, resulting in x = 16.

Step-by-step explanation:

To solve the equation √(x) = 4 using inverse operations, you should square both sides of the equation. This is because squaring is the inverse operation of taking a square root. When we square the square root of x, we are left with x, and when we square 4, we get 16.

Here's the step-by-step process:

1. Write down the original equation: √(x) = 4.
2. Square both sides of the equation to eliminate the square root: [√(x)]² = 4².
3. Simplify the equation: x = 16.

Therefore, the solution to the equation √(x) = 4 is x = 16.