Mathematics
Grade-8
Easy

Question

Evaluate square root of 72. Round your answer to the nearest whole number.

  1. 7.2
  2. 7
  3. 8
  4. 9

hintHint:

We first simplify the given number and then use long division method to find the square root of 72.

The correct answer is: 8


    GIVEN-
    Given number = √72
    TO FIND-
    Solution of √72 (rounded off to the nearest whole number).
    SOLUTION-
       √72 = √(6 * 6 * 2)
    ∴ √72 = √(6 * 6) * √2 …............. (√mn = √m * √n)
    ∴ √72 = 6 * √2 ........................... (√m*m = m)
    ∴ √72 = 6 * 1.414 ...................... (Refer image attached below for the long square division to find √2)
    1132343
    ∴ √72 = 8.484
    ∴ √72 ≈ 8 .......................... (Rounding down to the nearest whole number because the digit after decimal point is <=5)
    FINAL ANSWER-
    Option 'c' i.e. '8' is the correct answer to the given question.

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