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What is the Square Root of 27052?

The square root of 27052 is 164.4749221006. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27052 = 164.4749221006
CalculatedNon-perfect squareIrrational
Exact form√27052
Perfect squareNo
Number typeIrrational
Verification164.47492210062 ≈ 27052

On this page

How the answer is calculated

We solve x2 = 27052. The resulting value is x = 164.4749221006.

Verification: 164.47492210062 ≈ 27052.

Simplified radical form

The square root of 27052 in simplified radical form is 2√6763.

This is equivalent to √27052, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27049164.4658019164
√27050164.468842034
√27051164.4718820954
√27052164.4749221006
√27053164.4779620496
√27054164.4810019425
√27055164.4840417791

Number properties

Is 27052 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27052 is irrational because 27052 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 27052.