What is the Square Root of 14213?

The square root of 14213 is 119.2182871878. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14213 = 119.2182871878
CalculatedNon-perfect squareIrrational
Exact form√14213
Perfect squareNo
Number typeIrrational
Verification119.21828718782 ≈ 14213

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How the answer is calculated

We solve x2 = 14213. The resulting value is x = 119.2182871878.

Verification: 119.21828718782 ≈ 14213.

Simplified radical form

The square root of 14213 in simplified radical form is √14213.

There are no square factors that can be taken outside the radical, so √14213 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11914161
Upper or equal12014400

Nearby square roots

NumberSquare root
√14210119.2057045615
√14211119.2098989178
√14212119.2140931266
√14213119.2182871878
√14214119.2224811015
√14215119.2266748677
√14216119.2308684863

Number properties

Is 14213 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14213 is irrational because 14213 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 14213.