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What is the Square Root of 27172?

The square root of 27172 is 164.8393156987. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27172 = 164.8393156987
CalculatedNon-perfect squareIrrational
Exact form√27172
Perfect squareNo
Number typeIrrational
Verification164.83931569872 ≈ 27172

On this page

How the answer is calculated

We solve x2 = 27172. The resulting value is x = 164.8393156987.

Verification: 164.83931569872 ≈ 27172.

Simplified radical form

The square root of 27172 in simplified radical form is 2√6793.

This is equivalent to √27172, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27169164.8302156766
√27170164.8332490731
√27171164.8362824138
√27172164.8393156987
√27173164.8423489277
√27174164.8453821009
√27175164.8484152183

Number properties

Is 27172 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27172 is irrational because 27172 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 27172.