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What is the Square Root of 2213?

The square root of 2213 is 47.0425339454. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2213 = 47.0425339454
CalculatedNon-perfect squareIrrational
Exact form√2213
Perfect squareNo
Number typeIrrational
Verification47.04253394542 ≈ 2213

On this page

How the answer is calculated

We solve x2 = 2213. The resulting value is x = 47.0425339454.

Verification: 47.04253394542 ≈ 2213.

Simplified radical form

The square root of 2213 in simplified radical form is √2213.

There are no square factors that can be taken outside the radical, so √2213 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal472209
Upper or equal482304

Nearby square roots

NumberSquare root
√221047.0106370942
√221147.021271782
√221247.0319040652
√221347.0425339454
√221447.0531614241
√221547.063786503
√221647.0744091838

Number properties

Is 2213 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2213 is irrational because 2213 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 2213.