Solve the Square Root Equation: √x = 14

x=14 \sqrt{x}=14

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Step-by-step video solution

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00:04 Let's find the value of X.
00:07 First, square both sides to help isolate X.
00:15 Remember, squaring and then rooting cancel each other out.
00:19 Now, break down the exponent, multiply, and calculate.
00:24 And that's how we find our solution. Great work!

Step-by-step written solution

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1

Understand the problem

x=14 \sqrt{x}=14

2

Step-by-step solution

To solve this problem, we'll follow the steps below:

  • Step 1: Start with the given equation: x=14 \sqrt{x} = 14 .
  • Step 2: Square both sides of the equation to eliminate the square root:

(x)2=142 (\sqrt{x})^2 = 14^2

Step 3: Calculate the square of 14:
14×14=196 14 \times 14 = 196

Therefore, the value of x x is 196.

Comparing our solution with the provided choices, choice 3 (196 196 ) is the correct match.

Thus, the solution to the problem is x=196 x = 196 .

3

Final Answer

196

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\( 11^2= \)

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