Solve the Square Root Equation: √x = 2

Question

x=2 \sqrt{x}=2

Video Solution

Solution Steps

00:03 Let's find the value of X in this equation.
00:07 To isolate X, we'll square both sides of the equation.
00:15 Notice how the square and square root operations cancel each other out, making our work simpler.
00:21 Now, let's break down the power into multiplication and calculate the result step by step.
00:27 And there we have it! We've found our solution for X. Let's check if it makes sense.

Step-by-Step Solution

To solve the problem, follow these steps:

  • Step 1: Begin with the equation x=2\sqrt{x} = 2.
  • Step 2: Square both sides of the equation to eliminate the square root.
  • Step 3: Simplify the resulting equation to find xx.

Now, let's proceed through each step:
Step 1: The given equation is x=2\sqrt{x} = 2.
Step 2: Square both sides: (x)2=22(\sqrt{x})^2 = 2^2.
Step 3: This simplifies to x=4x = 4.

Therefore, the value of xx that satisfies x=2\sqrt{x} = 2 is x=4 x = 4 .

Matching this solution with the provided choices, the correct answer is choice 3, which is 4.

Answer

4