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What is the Square Root of 27216?

The square root of 27216 is 164.9727250184. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27216 = 164.9727250184
CalculatedNon-perfect squareIrrational
Exact form√27216
Perfect squareNo
Number typeIrrational
Verification164.97272501842 ≈ 27216

On this page

How the answer is calculated

We solve x2 = 27216. The resulting value is x = 164.9727250184.

Verification: 164.97272501842 ≈ 27216.

Simplified radical form

The square root of 27216 in simplified radical form is 36√21.

This is equivalent to √27216, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27213164.9636323557
√27214164.966663299
√27215164.9696941865
√27216164.9727250184
√27217164.9757557946
√27218164.9787865151
√27219164.98181718

Number properties

Is 27216 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27216 is irrational because 27216 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 27216.