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What is the Square Root of 27053?

The square root of 27053 is 164.4779620496. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27053 = 164.4779620496
CalculatedNon-perfect squareIrrational
Exact form√27053
Perfect squareNo
Number typeIrrational
Verification164.47796204962 ≈ 27053

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How the answer is calculated

We solve x2 = 27053. The resulting value is x = 164.4779620496.

Verification: 164.47796204962 ≈ 27053.

Simplified radical form

The square root of 27053 in simplified radical form is √27053.

There are no square factors that can be taken outside the radical, so √27053 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27050164.468842034
√27051164.4718820954
√27052164.4749221006
√27053164.4779620496
√27054164.4810019425
√27055164.4840417791
√27056164.4870815596

Number properties

Is 27053 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27053 is irrational because 27053 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 27053.