What is the Square Root of 26889?

The square root of 26889 is 163.9786571478. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26889 = 163.9786571478
CalculatedNon-perfect squareIrrational
Exact form√26889
Perfect squareNo
Number typeIrrational
Verification163.97865714782 ≈ 26889

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How the answer is calculated

We solve x2 = 26889. The resulting value is x = 163.9786571478.

Verification: 163.97865714782 ≈ 26889.

Simplified radical form

The square root of 26889 in simplified radical form is √26889.

There are no square factors that can be taken outside the radical, so √26889 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16326569
Upper or equal16426896

Nearby square roots

NumberSquare root
√26886163.9695093607
√26887163.9725586798
√26888163.9756079422
√26889163.9786571478
√26890163.9817062968
√26891163.984755389
√26892163.9878044246

Number properties

Is 26889 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26889 is irrational because 26889 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 26889.