Solve the Square Root Equation: Finding X in √x = 2²

Question

x=22 \sqrt{x}=2^2

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Simplify the given power.
  • Step 2: Set up the equation using what we know about square roots.
  • Step 3: Solve for x x using appropriate calculations.

Now, let's work through each step:
Step 1: Simplify 22 2^2 . We calculate 22=4 2^2 = 4 .
Step 2: Set up the equation: x=4 \sqrt{x} = 4 .
Step 3: Square both sides to solve for x x .
x=42=16 x = 4^2 = 16

Therefore, 16 \boxed{16} is the solution to the problem, which matches with choice 2.

Answer

16