What is the Square Root of 9964?

The square root of 9964 is 99.8198377077. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9964 = 99.8198377077
CalculatedNon-perfect squareIrrational
Exact form√9964
Perfect squareNo
Number typeIrrational
Verification99.81983770772 ≈ 9964

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How the answer is calculated

We solve x2 = 9964. The resulting value is x = 99.8198377077.

Verification: 99.81983770772 ≈ 9964.

Simplified radical form

The square root of 9964 in simplified radical form is 2√2491.

This is equivalent to √9964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal999801
Upper or equal10010000

Nearby square roots

NumberSquare root
√996199.8048095034
√996299.8098191562
√996399.8148285577
√996499.8198377077
√996599.8248466064
√996699.8298552538
√996799.8348636499

Number properties

Is 9964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9964 is irrational because 9964 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 9964.