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What is the Square Root of 27261?

The square root of 27261 is 165.1090548698. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27261 = 165.1090548698
CalculatedNon-perfect squareIrrational
Exact form√27261
Perfect squareNo
Number typeIrrational
Verification165.10905486982 ≈ 27261

On this page

How the answer is calculated

We solve x2 = 27261. The resulting value is x = 165.1090548698.

Verification: 165.10905486982 ≈ 27261.

Simplified radical form

The square root of 27261 in simplified radical form is 3√3029.

This is equivalent to √27261, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27258165.0999697153
√27259165.1029981557
√27260165.1060265405
√27261165.1090548698
√27262165.1120831435
√27263165.1151113617
√27264165.1181395244

Number properties

Is 27261 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27261 is irrational because 27261 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 27261.