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What is the Square Root of 27004?

The square root of 27004 is 164.3289384132. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27004 = 164.3289384132
CalculatedNon-perfect squareIrrational
Exact form√27004
Perfect squareNo
Number typeIrrational
Verification164.32893841322 ≈ 27004

On this page

How the answer is calculated

We solve x2 = 27004. The resulting value is x = 164.3289384132.

Verification: 164.32893841322 ≈ 27004.

Simplified radical form

The square root of 27004 in simplified radical form is 2√6751.

This is equivalent to √27004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27001164.3198101265
√27002164.322852945
√27003164.3258957073
√27004164.3289384132
√27005164.3319810627
√27006164.3350236559
√27007164.3380661928

Number properties

Is 27004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27004 is irrational because 27004 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 27004.