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What is the Square Root of 15723?

The square root of 15723 is 125.391387264. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15723 = 125.391387264
CalculatedNon-perfect squareIrrational
Exact form√15723
Perfect squareNo
Number typeIrrational
Verification125.3913872642 ≈ 15723

On this page

How the answer is calculated

We solve x2 = 15723. The resulting value is x = 125.391387264.

Verification: 125.3913872642 ≈ 15723.

Simplified radical form

The square root of 15723 in simplified radical form is 3√1747.

This is equivalent to √15723, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15720125.3794241493
√15721125.383411981
√15722125.3873996859
√15723125.391387264
√15724125.3953747153
√15725125.3993620398
√15726125.4033492376

Number properties

Is 15723 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15723 is irrational because 15723 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 15723.