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What is the Square Root of 27001?

The square root of 27001 is 164.3198101265. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27001 = 164.3198101265
CalculatedNon-perfect squareIrrational
Exact form√27001
Perfect squareNo
Number typeIrrational
Verification164.31981012652 ≈ 27001

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How the answer is calculated

We solve x2 = 27001. The resulting value is x = 164.3198101265.

Verification: 164.31981012652 ≈ 27001.

Simplified radical form

The square root of 27001 in simplified radical form is √27001.

There are no square factors that can be taken outside the radical, so √27001 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26998164.3106813327
√26999164.3137243203
√27000164.3167672515
√27001164.3198101265
√27002164.322852945
√27003164.3258957073
√27004164.3289384132

Number properties

Is 27001 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27001 is irrational because 27001 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 27001.