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What is the Square Root of 223?

The square root of 223 is 14.9331845231. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√223 = 14.9331845231
CalculatedNon-perfect squareIrrational
Exact form√223
Perfect squareNo
Number typeIrrational
Verification14.93318452312 ≈ 223

On this page

How the answer is calculated

We solve x2 = 223. The resulting value is x = 14.9331845231.

Verification: 14.93318452312 ≈ 223.

Simplified radical form

The square root of 223 in simplified radical form is √223.

There are no square factors that can be taken outside the radical, so √223 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√22014.8323969742
√22114.8660687473
√22214.8996644258
√22314.9331845231
√22414.9666295471
√22515
√22615.0332963784

Number properties

Is 223 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√223 is irrational because 223 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 223.