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What is the Square Root of 27400?

The square root of 27400 is 165.5294535725. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27400 = 165.5294535725
CalculatedNon-perfect squareIrrational
Exact form√27400
Perfect squareNo
Number typeIrrational
Verification165.52945357252 ≈ 27400

On this page

How the answer is calculated

We solve x2 = 27400. The resulting value is x = 165.5294535725.

Verification: 165.52945357252 ≈ 27400.

Simplified radical form

The square root of 27400 in simplified radical form is 10√274.

This is equivalent to √27400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27397165.520391493
√27398165.5234122413
√27399165.5264329344
√27400165.5294535725
√27401165.5324741554
√27402165.5354946832
√27403165.5385151558

Number properties

Is 27400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27400 is irrational because 27400 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 27400.