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What is the Square Root of 26289?

The square root of 26289 is 162.1388294025. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26289 = 162.1388294025
CalculatedNon-perfect squareIrrational
Exact form√26289
Perfect squareNo
Number typeIrrational
Verification162.13882940252 ≈ 26289

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How the answer is calculated

We solve x2 = 26289. The resulting value is x = 162.1388294025.

Verification: 162.13882940252 ≈ 26289.

Simplified radical form

The square root of 26289 in simplified radical form is 3√2921.

This is equivalent to √26289, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16226244
Upper or equal16326569

Nearby square roots

NumberSquare root
√26286162.1295778074
√26287162.1326617311
√26288162.1357455961
√26289162.1388294025
√26290162.1419131502
√26291162.1449968392
√26292162.1480804697

Number properties

Is 26289 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26289 is irrational because 26289 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 26289.