Question
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Tutor-Verified Answer
Answer
\( x = 36 \)
Solution
To solve the equation √x = 6, follow these steps:
1. Square both sides to eliminate the square root:
(√x)² = 6², which simplifies to x = 36.
2. Check the solution by substituting it back into the original equation:
√36 = 6, which is true.
Thus, the solution to the equation is x = 36.
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Simplify this solution Beyond the Answer
To solve the equation \( \sqrt{x} = 6 \), you can square both sides to eliminate the square root. This gives you: \[ x = 6^2 \] Calculating the right side results in: \[ x = 36 \] So, the solution to the equation \( \sqrt{x} = 6 \) is \( x = 36 \). To check your answer, substitute \( x \) back into the original equation: \[ \sqrt{36} = 6 \] Since this holds true, \( x = 36 \) is indeed the correct solution!
