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What is the Square Root of 4462?

The square root of 4462 is 66.7982035687. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4462 = 66.7982035687
CalculatedNon-perfect squareIrrational
Exact form√4462
Perfect squareNo
Number typeIrrational
Verification66.79820356872 ≈ 4462

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How the answer is calculated

We solve x2 = 4462. The resulting value is x = 66.7982035687.

Verification: 66.79820356872 ≈ 4462.

Simplified radical form

The square root of 4462 in simplified radical form is √4462.

There are no square factors that can be taken outside the radical, so √4462 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal664356
Upper or equal674489

Nearby square roots

NumberSquare root
√445966.7757440992
√446066.7832314283
√446166.790717918
√446266.7982035687
√446366.8056883806
√446466.813172354
√446566.8206554892

Number properties

Is 4462 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4462 is irrational because 4462 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 4462.