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What is the Square Root of 2498?

The square root of 2498 is 49.9799959984. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2498 = 49.9799959984
CalculatedNon-perfect squareIrrational
Exact form√2498
Perfect squareNo
Number typeIrrational
Verification49.97999599842 ≈ 2498

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How the answer is calculated

We solve x2 = 2498. The resulting value is x = 49.9799959984.

Verification: 49.97999599842 ≈ 2498.

Simplified radical form

The square root of 2498 in simplified radical form is √2498.

There are no square factors that can be taken outside the radical, so √2498 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal492401
Upper or equal502500

Nearby square roots

NumberSquare root
√249549.949974975
√249649.9599839872
√249749.9699909946
√249849.9799959984
√249949.9899989998
√250050
√250150.0099990002

Number properties

Is 2498 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2498 is irrational because 2498 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 2498.