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What is the Square Root of 15667?

The square root of 15667 is 125.1678872555. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15667 = 125.1678872555
CalculatedNon-perfect squareIrrational
Exact form√15667
Perfect squareNo
Number typeIrrational
Verification125.16788725552 ≈ 15667

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How the answer is calculated

We solve x2 = 15667. The resulting value is x = 125.1678872555.

Verification: 125.16788725552 ≈ 15667.

Simplified radical form

The square root of 15667 in simplified radical form is √15667.

There are no square factors that can be taken outside the radical, so √15667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15664125.1559027773
√15665125.1598977309
√15666125.1638925569
√15667125.1678872555
√15668125.1718818266
√15669125.1758762702
√15670125.1798705863

Number properties

Is 15667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15667 is irrational because 15667 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 15667.