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What is the Square Root of 228?

The square root of 228 is 15.0996688705. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√228 = 15.0996688705
CalculatedNon-perfect squareIrrational
Exact form√228
Perfect squareNo
Number typeIrrational
Verification15.09966887052 ≈ 228

On this page

How the answer is calculated

We solve x2 = 228. The resulting value is x = 15.0996688705.

Verification: 15.09966887052 ≈ 228.

Simplified radical form

The square root of 228 in simplified radical form is 2√57.

This is equivalent to √228, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√22515
√22615.0332963784
√22715.0665191733
√22815.0996688705
√22915.1327459504
√23015.1657508881
√23115.1986841536

Number properties

Is 228 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√228 is irrational because 228 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 228.