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What is the Square Root of 15664?

The square root of 15664 is 125.1559027773. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15664 = 125.1559027773
CalculatedNon-perfect squareIrrational
Exact form√15664
Perfect squareNo
Number typeIrrational
Verification125.15590277732 ≈ 15664

On this page

How the answer is calculated

We solve x2 = 15664. The resulting value is x = 125.1559027773.

Verification: 125.15590277732 ≈ 15664.

Simplified radical form

The square root of 15664 in simplified radical form is 4√979.

This is equivalent to √15664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15661125.1439171514
√15662125.1479124876
√15663125.1519076962
√15664125.1559027773
√15665125.1598977309
√15666125.1638925569
√15667125.1678872555

Number properties

Is 15664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15664 is irrational because 15664 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 15664.