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What is the Square Root of 26009?

The square root of 26009 is 161.2730603666. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26009 = 161.2730603666
CalculatedNon-perfect squareIrrational
Exact form√26009
Perfect squareNo
Number typeIrrational
Verification161.27306036662 ≈ 26009

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How the answer is calculated

We solve x2 = 26009. The resulting value is x = 161.2730603666.

Verification: 161.27306036662 ≈ 26009.

Simplified radical form

The square root of 26009 in simplified radical form is √26009.

There are no square factors that can be taken outside the radical, so √26009 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16125921
Upper or equal16226244

Nearby square roots

NumberSquare root
√26006161.2637591029
√26007161.2668595837
√26008161.269960005
√26009161.2730603666
√26010161.2761606686
√26011161.279260911
√26012161.2823610938

Number properties

Is 26009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26009 is irrational because 26009 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 26009.