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What is the Square Root of 15791?

The square root of 15791 is 125.6622457224. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15791 = 125.6622457224
CalculatedNon-perfect squareIrrational
Exact form√15791
Perfect squareNo
Number typeIrrational
Verification125.66224572242 ≈ 15791

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How the answer is calculated

We solve x2 = 15791. The resulting value is x = 125.6622457224.

Verification: 125.66224572242 ≈ 15791.

Simplified radical form

The square root of 15791 in simplified radical form is √15791.

There are no square factors that can be taken outside the radical, so √15791 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15788125.650308396
√15789125.6542876308
√15790125.6582667396
√15791125.6622457224
√15792125.6662245792
√15793125.6702033101
√15794125.674181915

Number properties

Is 15791 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15791 is irrational because 15791 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 15791.