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5sqrt2=108 Exercise (2) CUBE All unit in cm CUBOID

52=108 5 \sqrt{2}=108 \newlineExercise (22)\newlineCUBE\newline- All unit in cm \mathrm{cm} \newlineCUBOID

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Q. 52=108 5 \sqrt{2}=108 \newlineExercise (22)\newlineCUBE\newline- All unit in cm \mathrm{cm} \newlineCUBOID
  1. Isolate cube root: First, let's isolate the cube root on one side of the equation by taking the cube root of both sides.\newlinex=(52)13x = (5\sqrt{2})^{\frac{1}{3}}
  2. Calculate cube root of 525\sqrt{2}: Now, let's calculate the cube root of 525\sqrt{2}. \newlinex≈(5×1.4142)13x \approx (5 \times 1.4142)^{\frac{1}{3}}
  3. Multiply and approximate: Multiply 55 by the approximate value of 2\sqrt{2}, which is 1.41421.4142. \newlinex≈(7.071)1/3x \approx (7.071)^{1/3}
  4. Calculate final value: Calculate the cube root of 7.0717.071. \newlinex≈1.91x \approx 1.91

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