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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Square both sides to isolate X
00:16 Square and root cancel each other out
00:26 Calculate the exponent
00:31 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

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

2

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.

3

Final Answer

16

Practice Quiz

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\( 11^2= \)

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