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What is the Square Root of 26961?

The square root of 26961 is 164.1980511456. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26961 = 164.1980511456
CalculatedNon-perfect squareIrrational
Exact form√26961
Perfect squareNo
Number typeIrrational
Verification164.19805114562 ≈ 26961

On this page

How the answer is calculated

We solve x2 = 26961. The resulting value is x = 164.1980511456.

Verification: 164.19805114562 ≈ 26961.

Simplified radical form

The square root of 26961 in simplified radical form is √26961.

There are no square factors that can be taken outside the radical, so √26961 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26958164.188915582
√26959164.1919608263
√26960164.1950060142
√26961164.1980511456
√26962164.2010962205
√26963164.2041412389
√26964164.2071862008

Number properties

Is 26961 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26961 is irrational because 26961 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 26961.