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What is the Square Root of 4991?

The square root of 4991 is 70.6470098447. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4991 = 70.6470098447
CalculatedNon-perfect squareIrrational
Exact form√4991
Perfect squareNo
Number typeIrrational
Verification70.64700984472 ≈ 4991

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How the answer is calculated

We solve x2 = 4991. The resulting value is x = 70.6470098447.

Verification: 70.64700984472 ≈ 4991.

Simplified radical form

The square root of 4991 in simplified radical form is √4991.

There are no square factors that can be taken outside the radical, so √4991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√498870.625774332
√498970.6328535456
√499070.6399320498
√499170.6470098447
√499270.6540869306
√499370.6611633077
√499470.6682389762

Number properties

Is 4991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4991 is irrational because 4991 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 4991.