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What is the Square Root of 27301?

The square root of 27301 is 165.2301425285. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27301 = 165.2301425285
CalculatedNon-perfect squareIrrational
Exact form√27301
Perfect squareNo
Number typeIrrational
Verification165.23014252852 ≈ 27301

On this page

How the answer is calculated

We solve x2 = 27301. The resulting value is x = 165.2301425285.

Verification: 165.23014252852 ≈ 27301.

Simplified radical form

The square root of 27301 in simplified radical form is √27301.

There are no square factors that can be taken outside the radical, so √27301 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27298165.2210640324
√27299165.2240902532
√27300165.2271164186
√27301165.2301425285
√27302165.2331685831
√27303165.2361945822
√27304165.2392205259

Number properties

Is 27301 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27301 is irrational because 27301 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 27301.