What is the Square Root of 15236?

The square root of 15236 is 123.4341929937. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15236 = 123.4341929937
CalculatedNon-perfect squareIrrational
Exact form√15236
Perfect squareNo
Number typeIrrational
Verification123.43419299372 ≈ 15236

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How the answer is calculated

We solve x2 = 15236. The resulting value is x = 123.4341929937.

Verification: 123.43419299372 ≈ 15236.

Simplified radical form

The square root of 15236 in simplified radical form is 2√3809.

This is equivalent to √15236, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12315129
Upper or equal12415376

Nearby square roots

NumberSquare root
√15233123.4220401711
√15234123.4260912449
√15235123.4301421858
√15236123.4341929937
√15237123.4382436686
√15238123.4422942107
√15239123.4463446198

Number properties

Is 15236 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15236 is irrational because 15236 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 15236.