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What is the Square Root of 826?

The square root of 826 is 28.7402157264. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√826 = 28.7402157264
CalculatedNon-perfect squareIrrational
Exact form√826
Perfect squareNo
Number typeIrrational
Verification28.74021572642 ≈ 826

On this page

How the answer is calculated

We solve x2 = 826. The resulting value is x = 28.7402157264.

Verification: 28.74021572642 ≈ 826.

Simplified radical form

The square root of 826 in simplified radical form is √826.

There are no square factors that can be taken outside the radical, so √826 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√82328.6879765756
√82428.7054001888
√82528.7228132327
√82628.7402157264
√82728.7576076891
√82828.7749891399
√82928.7923600978

Number properties

Is 826 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√826 is irrational because 826 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 826.