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A student solved the equation x^(2)=123 to find the length of the diagonal of a square in inches. What is the measurement of x, the length of the diagonal of the square, rounded to the nearest tenth?

A student solved the equation x2=123 x^{2}=123 to find the length of the diagonal of a square in inches. What is the measurement of x x , the length of the diagonal of the square, rounded to the nearest tenth?

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Full solution

Q. A student solved the equation x2=123 x^{2}=123 to find the length of the diagonal of a square in inches. What is the measurement of x x , the length of the diagonal of the square, rounded to the nearest tenth?
  1. Take Square Root: To find the length of the diagonal of the square, we need to take the square root of both sides of the equation x2=123x^2 = 123.\newlineCalculation: x=123x = \sqrt{123}
  2. Calculate Square Root: Using a calculator to find the square root of 123123.\newlineCalculation: x≈123≈11.0905365064x \approx \sqrt{123} \approx 11.0905365064
  3. Round to Nearest Tenth: Round the result to the nearest tenth to find the measurement of the diagonal.\newlineCalculation: x≈11.1x \approx 11.1 inches

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