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What is the Square Root of 232?

The square root of 232 is 15.2315462117. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√232 = 15.2315462117
CalculatedNon-perfect squareIrrational
Exact form√232
Perfect squareNo
Number typeIrrational
Verification15.23154621172 ≈ 232

On this page

How the answer is calculated

We solve x2 = 232. The resulting value is x = 15.2315462117.

Verification: 15.23154621172 ≈ 232.

Simplified radical form

The square root of 232 in simplified radical form is 2√58.

This is equivalent to √232, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√22915.1327459504
√23015.1657508881
√23115.1986841536
√23215.2315462117
√23315.2643375225
√23415.2970585408
√23515.3297097168

Number properties

Is 232 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√232 is irrational because 232 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 232.