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What is the Square Root of 26791?

The square root of 26791 is 163.6795650043. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26791 = 163.6795650043
CalculatedNon-perfect squareIrrational
Exact form√26791
Perfect squareNo
Number typeIrrational
Verification163.67956500432 ≈ 26791

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How the answer is calculated

We solve x2 = 26791. The resulting value is x = 163.6795650043.

Verification: 163.67956500432 ≈ 26791.

Simplified radical form

The square root of 26791 in simplified radical form is √26791.

There are no square factors that can be taken outside the radical, so √26791 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16326569
Upper or equal16426896

Nearby square roots

NumberSquare root
√26788163.6704005005
√26789163.6734553921
√26790163.6765102267
√26791163.6795650043
√26792163.6826197249
√26793163.6856743884
√26794163.688728995

Number properties

Is 26791 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26791 is irrational because 26791 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 26791.