Solve the Square Root Equation: √x = 1

x=1 \sqrt{x}=1

X=? X=?

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Step-by-step video solution

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00:00 Solve
00:04 We'll square it to isolate the unknown
00:12 Square and root cancel each other out
00:17 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

x=1 \sqrt{x}=1

X=? X=?

2

Step-by-step solution

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

  • Step 1: Square both sides of the equation.
  • Step 2: Simplify the resulting expression.

Now, let's work through each step:

Step 1: We have the equation x=1 \sqrt{x} = 1 .
Square both sides:

(x)2=12 (\sqrt{x})^2 = 1^2

Step 2: Simplify both sides of the equation.

The left side simplifies to x x , since the square and the square root cancel each other out:

x=1 x = 1

The right side simplifies to 1, so we have:

x=1 x = 1

Therefore, the solution to the problem is x=1 x = 1 .

3

Final Answer

1

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\( \sqrt{100}= \)

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