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What is the Square Root of 15823?

The square root of 15823 is 125.7895067166. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15823 = 125.7895067166
CalculatedNon-perfect squareIrrational
Exact form√15823
Perfect squareNo
Number typeIrrational
Verification125.78950671662 ≈ 15823

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How the answer is calculated

We solve x2 = 15823. The resulting value is x = 125.7895067166.

Verification: 125.78950671662 ≈ 15823.

Simplified radical form

The square root of 15823 in simplified radical form is √15823.

There are no square factors that can be taken outside the radical, so √15823 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15820125.7775814682
√15821125.7815566766
√15822125.7855317594
√15823125.7895067166
√15824125.7934815481
√15825125.7974562541
√15826125.8014308345

Number properties

Is 15823 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15823 is irrational because 15823 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 15823.