What is the Square Root of 834?

The square root of 834 is 28.8790581564. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√834 = 28.8790581564
CalculatedNon-perfect squareIrrational
Exact form√834
Perfect squareNo
Number typeIrrational
Verification28.87905815642 ≈ 834

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How the answer is calculated

We solve x2 = 834. The resulting value is x = 28.8790581564.

Verification: 28.87905815642 ≈ 834.

Simplified radical form

The square root of 834 in simplified radical form is √834.

There are no square factors that can be taken outside the radical, so √834 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√83128.8270706108
√83228.8444102037
√83328.8617393793
√83428.8790581564
√83528.8963665536
√83628.9136645896
√83728.930952283

Number properties

Is 834 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√834 is irrational because 834 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 834.