What is the Square Root of 26001?

The square root of 26001 is 161.2482558045. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26001 = 161.2482558045
CalculatedNon-perfect squareIrrational
Exact form√26001
Perfect squareNo
Number typeIrrational
Verification161.24825580452 ≈ 26001

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How the answer is calculated

We solve x2 = 26001. The resulting value is x = 161.2482558045.

Verification: 161.24825580452 ≈ 26001.

Simplified radical form

The square root of 26001 in simplified radical form is 9√321.

This is equivalent to √26001, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16125921
Upper or equal16226244

Nearby square roots

NumberSquare root
√25998161.23895311
√25999161.2420540678
√26000161.245154966
√26001161.2482558045
√26002161.2513565834
√26003161.2544573027
√26004161.2575579624

Number properties

Is 26001 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26001 is irrational because 26001 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 26001.