Solve the Square Root Equation: Finding X in √x = 7

x=7 \sqrt{x}=7

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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
00:11 Square and root cancel each other out
00:15 Calculate the exponent
00:18 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

x=7 \sqrt{x}=7

2

Step-by-step solution

To solve this problem, we will eliminate the square root by squaring both sides of the equation.

  • Step 1: Start with the given equation:
    x=7\sqrt{x} = 7
  • Step 2: Square both sides of the equation to eliminate the square root:
    (x)2=72(\sqrt{x})^2 = 7^2
  • Step 3: Simplify both sides:
    x=49x = 49
  • This calculation shows that when the square root of x x is 7, the value of x x must be 49 to satisfy the equation.

Therefore, the solution to the problem is x=49 x = 49 . This matches the correct choice from the given multiple-choice options.

3

Final Answer

49

Practice Quiz

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Which of the following is equivalent to the expression below?

\( \)\( 10,000^1 \)

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