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What is the Square Root of 261?

The square root of 261 is 16.1554944214. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√261 = 16.1554944214
CalculatedNon-perfect squareIrrational
Exact form√261
Perfect squareNo
Number typeIrrational
Verification16.15549442142 ≈ 261

On this page

How the answer is calculated

We solve x2 = 261. The resulting value is x = 16.1554944214.

Verification: 16.15549442142 ≈ 261.

Simplified radical form

The square root of 261 in simplified radical form is 3√29.

This is equivalent to √261, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√25816.0623784042
√25916.0934769394
√26016.1245154966
√26116.1554944214
√26216.1864140562
√26316.2172747402
√26416.2480768093

Number properties

Is 261 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√261 is irrational because 261 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 261.