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What is the Square Root of 226?

The square root of 226 is 15.0332963784. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√226 = 15.0332963784
CalculatedNon-perfect squareIrrational
Exact form√226
Perfect squareNo
Number typeIrrational
Verification15.03329637842 ≈ 226

On this page

How the answer is calculated

We solve x2 = 226. The resulting value is x = 15.0332963784.

Verification: 15.03329637842 ≈ 226.

Simplified radical form

The square root of 226 in simplified radical form is √226.

There are no square factors that can be taken outside the radical, so √226 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√22314.9331845231
√22414.9666295471
√22515
√22615.0332963784
√22715.0665191733
√22815.0996688705
√22915.1327459504

Number properties

Is 226 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√226 is irrational because 226 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 226.