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What is the Square Root of 4996?

The square root of 4996 is 70.6823881883. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4996 = 70.6823881883
CalculatedNon-perfect squareIrrational
Exact form√4996
Perfect squareNo
Number typeIrrational
Verification70.68238818832 ≈ 4996

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How the answer is calculated

We solve x2 = 4996. The resulting value is x = 70.6823881883.

Verification: 70.68238818832 ≈ 4996.

Simplified radical form

The square root of 4996 in simplified radical form is 2√1249.

This is equivalent to √4996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√499370.6611633077
√499470.6682389762
√499570.6753139363
√499670.6823881883
√499770.6894617323
√499870.6965345685
√499970.7036066973

Number properties

Is 4996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4996 is irrational because 4996 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 4996.