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What is the Square Root of 4959?

The square root of 4959 is 70.4201675658. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4959 = 70.4201675658
CalculatedNon-perfect squareIrrational
Exact form√4959
Perfect squareNo
Number typeIrrational
Verification70.42016756582 ≈ 4959

On this page

How the answer is calculated

We solve x2 = 4959. The resulting value is x = 70.4201675658.

Verification: 70.42016756582 ≈ 4959.

Simplified radical form

The square root of 4959 in simplified radical form is 3√551.

This is equivalent to √4959, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√495670.3988636272
√495770.4059656563
√495870.4130669691
√495970.4201675658
√496070.4272674466
√496170.4343666118
√496270.4414650614

Number properties

Is 4959 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4959 is irrational because 4959 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 4959.