What is the Square Root of 10064?

The square root of 10064 is 100.3194896319. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10064 = 100.3194896319
CalculatedNon-perfect squareIrrational
Exact form√10064
Perfect squareNo
Number typeIrrational
Verification100.31948963192 ≈ 10064

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How the answer is calculated

We solve x2 = 10064. The resulting value is x = 100.3194896319.

Verification: 100.31948963192 ≈ 10064.

Simplified radical form

The square root of 10064 in simplified radical form is 4√629.

This is equivalent to √10064, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10010000
Upper or equal10110201

Nearby square roots

NumberSquare root
√10061100.3045362882
√10062100.3095209838
√10063100.3145054317
√10064100.3194896319
√10065100.3244735845
√10066100.3294572895
√10067100.3344407469

Number properties

Is 10064 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√10064 is irrational because 10064 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 10064.