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What is the Square Root of 2400?

The square root of 2400 is 48.9897948557. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2400 = 48.9897948557
CalculatedNon-perfect squareIrrational
Exact form√2400
Perfect squareNo
Number typeIrrational
Verification48.98979485572 ≈ 2400

On this page

How the answer is calculated

We solve x2 = 2400. The resulting value is x = 48.9897948557.

Verification: 48.98979485572 ≈ 2400.

Simplified radical form

The square root of 2400 in simplified radical form is 20√6.

This is equivalent to √2400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal482304
Upper or equal492401

Nearby square roots

NumberSquare root
√239748.9591666596
√239848.9693781868
√239948.979587585
√240048.9897948557
√240149
√240249.0102030194
√240349.0204039151

Number properties

Is 2400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2400 is irrational because 2400 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 2400.