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What is the Square Root of 27025?

The square root of 27025 is 164.3928222277. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27025 = 164.3928222277
CalculatedNon-perfect squareIrrational
Exact form√27025
Perfect squareNo
Number typeIrrational
Verification164.39282222772 ≈ 27025

On this page

How the answer is calculated

We solve x2 = 27025. The resulting value is x = 164.3928222277.

Verification: 164.39282222772 ≈ 27025.

Simplified radical form

The square root of 27025 in simplified radical form is 5√1081.

This is equivalent to √27025, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27022164.3836974885
√27023164.3867391245
√27024164.3897807043
√27025164.3928222277
√27026164.3958636949
√27027164.3989051058
√27028164.4019464605

Number properties

Is 27025 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27025 is irrational because 27025 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 27025.