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What is the Square Root of 3964?

The square root of 3964 is 62.9603049548. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3964 = 62.9603049548
CalculatedNon-perfect squareIrrational
Exact form√3964
Perfect squareNo
Number typeIrrational
Verification62.96030495482 ≈ 3964

On this page

How the answer is calculated

We solve x2 = 3964. The resulting value is x = 62.9603049548.

Verification: 62.96030495482 ≈ 3964.

Simplified radical form

The square root of 3964 in simplified radical form is 2√991.

This is equivalent to √3964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal623844
Upper or equal633969

Nearby square roots

NumberSquare root
√396162.9364759102
√396262.9444199274
√396362.9523629421
√396462.9603049548
√396562.9682459657
√396662.9761859753
√396762.984124984

Number properties

Is 3964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3964 is irrational because 3964 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 3964.