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What is the Square Root of 4901?

The square root of 4901 is 70.0071424927. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4901 = 70.0071424927
CalculatedNon-perfect squareIrrational
Exact form√4901
Perfect squareNo
Number typeIrrational
Verification70.00714249272 ≈ 4901

On this page

How the answer is calculated

We solve x2 = 4901. The resulting value is x = 70.0071424927.

Verification: 70.00714249272 ≈ 4901.

Simplified radical form

The square root of 4901 in simplified radical form is 13√29.

This is equivalent to √4901, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√489869.9857128277
√489969.9928567784
√490070
√490170.0071424927
√490270.0142842569
√490370.0214252925
√490470.0285656

Number properties

Is 4901 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4901 is irrational because 4901 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 4901.