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What is the Square Root of 2123?

The square root of 2123 is 46.076024134. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2123 = 46.076024134
CalculatedNon-perfect squareIrrational
Exact form√2123
Perfect squareNo
Number typeIrrational
Verification46.0760241342 ≈ 2123

On this page

How the answer is calculated

We solve x2 = 2123. The resulting value is x = 46.076024134.

Verification: 46.0760241342 ≈ 2123.

Simplified radical form

The square root of 2123 in simplified radical form is √2123.

There are no square factors that can be taken outside the radical, so √2123 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal462116
Upper or equal472209

Nearby square roots

NumberSquare root
√212046.0434577329
√212146.0543157587
√212246.0651712251
√212346.076024134
√212446.0868744872
√212546.0977222865
√212646.1085675336

Number properties

Is 2123 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2123 is irrational because 2123 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 2123.