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What is the Square Root of 237?

The square root of 237 is 15.3948043183. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√237 = 15.3948043183
CalculatedNon-perfect squareIrrational
Exact form√237
Perfect squareNo
Number typeIrrational
Verification15.39480431832 ≈ 237

On this page

How the answer is calculated

We solve x2 = 237. The resulting value is x = 15.3948043183.

Verification: 15.39480431832 ≈ 237.

Simplified radical form

The square root of 237 in simplified radical form is √237.

There are no square factors that can be taken outside the radical, so √237 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√23415.2970585408
√23515.3297097168
√23615.3622914957
√23715.3948043183
√23815.4272486205
√23915.4596248337
√24015.4919333848

Number properties

Is 237 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√237 is irrational because 237 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 237.