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What is the Square Root of 2401?

The square root of 2401 is 49. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2401 = 49
ExactPerfect squareRational
Exact form49
Perfect squareYes
Number typeRational
Verification492 ≈ 2401

On this page

How the answer is calculated

We solve x2 = 2401. The resulting value is x = 49.

Verification: 492 ≈ 2401.

Simplified radical form

The square root of 2401 in simplified radical form is 49.

There are no square factors that can be taken outside the radical, so 49 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal492401
Upper or equal492401

Nearby square roots

NumberSquare root
√239848.9693781868
√239948.979587585
√240048.9897948557
√240149
√240249.0102030194
√240349.0204039151
√240449.0306026885

Number properties

Is 2401 a perfect square?

Yes. Its square root is the whole number 49.

Is the square root rational or irrational?

49 is rational because it is a whole number.

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 2401.