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What is the Square Root of 4964?

The square root of 4964 is 70.4556598152. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4964 = 70.4556598152
CalculatedNon-perfect squareIrrational
Exact form√4964
Perfect squareNo
Number typeIrrational
Verification70.45565981522 ≈ 4964

On this page

How the answer is calculated

We solve x2 = 4964. The resulting value is x = 70.4556598152.

Verification: 70.45565981522 ≈ 4964.

Simplified radical form

The square root of 4964 in simplified radical form is 2√1241.

This is equivalent to √4964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√496170.4343666118
√496270.4414650614
√496370.4485627958
√496470.4556598152
√496570.4627561198
√496670.4698517098
√496770.4769465854

Number properties

Is 4964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4964 is irrational because 4964 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 4964.