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What is the Square Root of 27729?

The square root of 27729 is 166.5202690365. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27729 = 166.5202690365
CalculatedNon-perfect squareIrrational
Exact form√27729
Perfect squareNo
Number typeIrrational
Verification166.52026903652 ≈ 27729

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How the answer is calculated

We solve x2 = 27729. The resulting value is x = 166.5202690365.

Verification: 166.52026903652 ≈ 27729.

Simplified radical form

The square root of 27729 in simplified radical form is 3√3081.

This is equivalent to √27729, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27726166.5112608805
√27727166.5142636533
√27728166.517266372
√27729166.5202690365
√27730166.5232716469
√27731166.5262742032
√27732166.5292767053

Number properties

Is 27729 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27729 is irrational because 27729 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 27729.