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What is the Square Root of 2449?

The square root of 2449 is 49.4873721266. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2449 = 49.4873721266
CalculatedNon-perfect squareIrrational
Exact form√2449
Perfect squareNo
Number typeIrrational
Verification49.48737212662 ≈ 2449

On this page

How the answer is calculated

We solve x2 = 2449. The resulting value is x = 49.4873721266.

Verification: 49.48737212662 ≈ 2449.

Simplified radical form

The square root of 2449 in simplified radical form is √2449.

There are no square factors that can be taken outside the radical, so √2449 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal492401
Upper or equal502500

Nearby square roots

NumberSquare root
√244649.4570520755
√244749.4671608241
√244849.4772675074
√244949.4873721266
√245049.4974746831
√245149.5075751779
√245249.5176736126

Number properties

Is 2449 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2449 is irrational because 2449 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 2449.