What is the Square Root of 15993?

The square root of 15993 is 126.4634334501. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15993 = 126.4634334501
CalculatedNon-perfect squareIrrational
Exact form√15993
Perfect squareNo
Number typeIrrational
Verification126.46343345012 ≈ 15993

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How the answer is calculated

We solve x2 = 15993. The resulting value is x = 126.4634334501.

Verification: 126.46343345012 ≈ 15993.

Simplified radical form

The square root of 15993 in simplified radical form is 3√1777.

This is equivalent to √15993, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15990126.4515717577
√15991126.4555257788
√15992126.4594796763
√15993126.4634334501
√15994126.4673871004
√15995126.471340627
√15996126.4752940301

Number properties

Is 15993 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15993 is irrational because 15993 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 15993.