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What is the Square Root of 15665?

The square root of 15665 is 125.1598977309. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15665 = 125.1598977309
CalculatedNon-perfect squareIrrational
Exact form√15665
Perfect squareNo
Number typeIrrational
Verification125.15989773092 ≈ 15665

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How the answer is calculated

We solve x2 = 15665. The resulting value is x = 125.1598977309.

Verification: 125.15989773092 ≈ 15665.

Simplified radical form

The square root of 15665 in simplified radical form is √15665.

There are no square factors that can be taken outside the radical, so √15665 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15662125.1479124876
√15663125.1519076962
√15664125.1559027773
√15665125.1598977309
√15666125.1638925569
√15667125.1678872555
√15668125.1718818266

Number properties

Is 15665 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15665 is irrational because 15665 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 15665.