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What is the Square Root of 27101?

The square root of 27101 is 164.6238135872. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27101 = 164.6238135872
CalculatedNon-perfect squareIrrational
Exact form√27101
Perfect squareNo
Number typeIrrational
Verification164.62381358722 ≈ 27101

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How the answer is calculated

We solve x2 = 27101. The resulting value is x = 164.6238135872.

Verification: 164.62381358722 ≈ 27101.

Simplified radical form

The square root of 27101 in simplified radical form is √27101.

There are no square factors that can be taken outside the radical, so √27101 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27098164.6147016521
√27099164.6177390198
√27100164.6207763315
√27101164.6238135872
√27102164.6268507869
√27103164.6298879305
√27104164.6329250181

Number properties

Is 27101 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27101 is irrational because 27101 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 27101.