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What is the Square Root of 15788?

The square root of 15788 is 125.650308396. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15788 = 125.650308396
CalculatedNon-perfect squareIrrational
Exact form√15788
Perfect squareNo
Number typeIrrational
Verification125.6503083962 ≈ 15788

On this page

How the answer is calculated

We solve x2 = 15788. The resulting value is x = 125.650308396.

Verification: 125.6503083962 ≈ 15788.

Simplified radical form

The square root of 15788 in simplified radical form is 2√3947.

This is equivalent to √15788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15785125.6383699353
√15786125.6423495482
√15787125.6463290351
√15788125.650308396
√15789125.6542876308
√15790125.6582667396
√15791125.6622457224

Number properties

Is 15788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15788 is irrational because 15788 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 15788.