What is the Square Root of 260?

The square root of 260 is 16.1245154966. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√260 = 16.1245154966
CalculatedNon-perfect squareIrrational
Exact form√260
Perfect squareNo
Number typeIrrational
Verification16.12451549662 ≈ 260

On this page

How the answer is calculated

We solve x2 = 260. The resulting value is x = 16.1245154966.

Verification: 16.12451549662 ≈ 260.

Simplified radical form

The square root of 260 in simplified radical form is 2√65.

This is equivalent to √260, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√25716.0312195419
√25816.0623784042
√25916.0934769394
√26016.1245154966
√26116.1554944214
√26216.1864140562
√26316.2172747402

Number properties

Is 260 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√260 is irrational because 260 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 260.