What is Square Root of 81

Answer: The Square Root of 81 is 9

  • Square root of 81 is written as 81\sqrt{81} (Radical form).
  • Square root of 81 = 81\sqrt{81} = 9×9\sqrt{9 \times 9} = 9
  • In the exponential form, the square root of 81 is expressed as (81)12(81)^\frac{1}{2}.

We will now calculate the square root of 81 by Prime Factorisation.

Square Root of 81 By Prime Factorization Method

  • Step 1: Prime factors of 81: 3 x 3 x 3 x 3
  • Step 2: Prime factors of 81 in pairs: (3 x 3) x (3 x 3)
  • Step 3: Now square root of 81:

81=(3×3)×(3×3)\sqrt{81} = \sqrt{(3 \times 3) \times (3 \times 3)}

81=32×32\sqrt{81} = \sqrt{ 3^2 \times3^2}

81=9\sqrt{81} = 9

Therefore, the square root of 81 is ±9

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