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What is the Square Root of 26489?

The square root of 26489 is 162.7544162227. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26489 = 162.7544162227
CalculatedNon-perfect squareIrrational
Exact form√26489
Perfect squareNo
Number typeIrrational
Verification162.75441622272 ≈ 26489

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How the answer is calculated

We solve x2 = 26489. The resulting value is x = 162.7544162227.

Verification: 162.75441622272 ≈ 26489.

Simplified radical form

The square root of 26489 in simplified radical form is √26489.

There are no square factors that can be taken outside the radical, so √26489 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16226244
Upper or equal16326569

Nearby square roots

NumberSquare root
√26486162.745199622
√26487162.7482718802
√26488162.7513440805
√26489162.7544162227
√26490162.757488307
√26491162.7605603333
√26492162.7636323016

Number properties

Is 26489 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26489 is irrational because 26489 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 26489.