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What is the Square Root of 4949?

The square root of 4949 is 70.3491293478. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4949 = 70.3491293478
CalculatedNon-perfect squareIrrational
Exact form√4949
Perfect squareNo
Number typeIrrational
Verification70.34912934782 ≈ 4949

On this page

How the answer is calculated

We solve x2 = 4949. The resulting value is x = 70.3491293478.

Verification: 70.34912934782 ≈ 4949.

Simplified radical form

The square root of 4949 in simplified radical form is 7√101.

This is equivalent to √4949, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√494670.3278038901
√494770.3349130944
√494870.3420215803
√494970.3491293478
√495070.3562363974
√495170.363342729
√495270.370448343

Number properties

Is 4949 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4949 is irrational because 4949 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 4949.