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What is the Square Root of 27664?

The square root of 27664 is 166.3249830903. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27664 = 166.3249830903
CalculatedNon-perfect squareIrrational
Exact form√27664
Perfect squareNo
Number typeIrrational
Verification166.32498309032 ≈ 27664

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How the answer is calculated

We solve x2 = 27664. The resulting value is x = 166.3249830903.

Verification: 166.32498309032 ≈ 27664.

Simplified radical form

The square root of 27664 in simplified radical form is 4√1729.

This is equivalent to √27664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27661166.315964357
√27662166.3189706558
√27663166.3219769002
√27664166.3249830903
√27665166.3279892261
√27666166.3309953075
√27667166.3340013347

Number properties

Is 27664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27664 is irrational because 27664 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 27664.