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What is the Square Root of 840?

The square root of 840 is 28.9827534924. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√840 = 28.9827534924
CalculatedNon-perfect squareIrrational
Exact form√840
Perfect squareNo
Number typeIrrational
Verification28.98275349242 ≈ 840

On this page

How the answer is calculated

We solve x2 = 840. The resulting value is x = 28.9827534924.

Verification: 28.98275349242 ≈ 840.

Simplified radical form

The square root of 840 in simplified radical form is 2√210.

This is equivalent to √840, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√83728.930952283
√83828.9482296523
√83928.9654967159
√84028.9827534924
√84129
√84229.0172362571
√84329.0344622819

Number properties

Is 840 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√840 is irrational because 840 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 840.