What is the Square Root of 26?

The square root of 26 is 5.0990195136. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26 = 5.0990195136
CalculatedNon-perfect squareIrrational
Exact form√26
Perfect squareNo
Number typeIrrational
Verification5.09901951362 ≈ 26

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How the answer is calculated

We solve x2 = 26. The resulting value is x = 5.0990195136.

Verification: 5.09901951362 ≈ 26.

Simplified radical form

The square root of 26 in simplified radical form is √26.

There are no square factors that can be taken outside the radical, so √26 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal525
Upper or equal636

Nearby square roots

NumberSquare root
√234.7958315233
√244.8989794856
√255
√265.0990195136
√275.1961524227
√285.2915026221
√295.3851648071

Number properties

Is 26 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26 is irrational because 26 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 26.