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What is the Square Root of 27027?

The square root of 27027 is 164.3989051058. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27027 = 164.3989051058
CalculatedNon-perfect squareIrrational
Exact form√27027
Perfect squareNo
Number typeIrrational
Verification164.39890510582 ≈ 27027

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How the answer is calculated

We solve x2 = 27027. The resulting value is x = 164.3989051058.

Verification: 164.39890510582 ≈ 27027.

Simplified radical form

The square root of 27027 in simplified radical form is 3√3003.

This is equivalent to √27027, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27024164.3897807043
√27025164.3928222277
√27026164.3958636949
√27027164.3989051058
√27028164.4019464605
√27029164.4049877589
√27030164.408029001

Number properties

Is 27027 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27027 is irrational because 27027 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 27027.