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What is the Square Root of 124?

The square root of 124 is 11.1355287257. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√124 = 11.1355287257
CalculatedNon-perfect squareIrrational
Exact form√124
Perfect squareNo
Number typeIrrational
Verification11.13552872572 ≈ 124

On this page

How the answer is calculated

We solve x2 = 124. The resulting value is x = 11.1355287257.

Verification: 11.13552872572 ≈ 124.

Simplified radical form

The square root of 124 in simplified radical form is 2√31.

This is equivalent to √124, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√12111
√12211.0453610172
√12311.0905365064
√12411.1355287257
√12511.1803398875
√12611.2249721603
√12711.2694276696

Number properties

Is 124 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√124 is irrational because 124 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 124.