Calculate: $\sqrt{2.72^2 + 3.89^2 + 4.56^2}$

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Understand the Problem

The question requires us to calculate the square root of the sum of squares of three numbers: 2.72, 3.89, and 4.56. The steps would involve squaring each number, adding the results, and then taking the square root of the sum.

Answer

$6.5821045$
Answer for screen readers

$6.5821045$

Steps to Solve

  1. Calculate $2.72^2$

$2.72^2 = 2.72 \times 2.72 = 7.3984$

  1. Calculate $3.89^2$

$3.89^2 = 3.89 \times 3.89 = 15.1321$

  1. Calculate $4.56^2$

$4.56^2 = 4.56 \times 4.56 = 20.7936$

  1. Sum the squares

$7.3984 + 15.1321 + 20.7936 = 43.3241$

  1. Calculate the square root

$\sqrt{43.3241} \approx 6.5821045$

$6.5821045$

More Information

The numbers were rounded to seven decimal places.

Tips

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