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What is the Square Root of 4968?

The square root of 4968 is 70.4840407468. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4968 = 70.4840407468
CalculatedNon-perfect squareIrrational
Exact form√4968
Perfect squareNo
Number typeIrrational
Verification70.48404074682 ≈ 4968

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How the answer is calculated

We solve x2 = 4968. The resulting value is x = 70.4840407468.

Verification: 70.48404074682 ≈ 4968.

Simplified radical form

The square root of 4968 in simplified radical form is 6√138.

This is equivalent to √4968, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√496570.4627561198
√496670.4698517098
√496770.4769465854
√496870.4840407468
√496970.4911341943
√497070.4982269281
√497170.5053189483

Number properties

Is 4968 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4968 is irrational because 4968 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 4968.