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What is the Square Root of 27253?

The square root of 27253 is 165.0848266801. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27253 = 165.0848266801
CalculatedNon-perfect squareIrrational
Exact form√27253
Perfect squareNo
Number typeIrrational
Verification165.08482668012 ≈ 27253

On this page

How the answer is calculated

We solve x2 = 27253. The resulting value is x = 165.0848266801.

Verification: 165.08482668012 ≈ 27253.

Simplified radical form

The square root of 27253 in simplified radical form is √27253.

There are no square factors that can be taken outside the radical, so √27253 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27250165.0757401922
√27251165.0787690771
√27252165.0817979064
√27253165.0848266801
√27254165.0878553983
√27255165.0908840609
√27256165.0939126679

Number properties

Is 27253 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27253 is irrational because 27253 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 27253.