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What is the Square Root of 2340?

The square root of 2340 is 48.3735464898. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2340 = 48.3735464898
CalculatedNon-perfect squareIrrational
Exact form√2340
Perfect squareNo
Number typeIrrational
Verification48.37354648982 ≈ 2340

On this page

How the answer is calculated

We solve x2 = 2340. The resulting value is x = 48.3735464898.

Verification: 48.37354648982 ≈ 2340.

Simplified radical form

The square root of 2340 in simplified radical form is 6√65.

This is equivalent to √2340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal482304
Upper or equal492401

Nearby square roots

NumberSquare root
√233748.3425278611
√233848.3528696149
√233948.3632091574
√234048.3735464898
√234148.3838816136
√234248.3942145303
√234348.4045452411

Number properties

Is 2340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2340 is irrational because 2340 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 2340.