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What is the Square Root of 15424?

The square root of 15424 is 124.1933975701. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15424 = 124.1933975701
CalculatedNon-perfect squareIrrational
Exact form√15424
Perfect squareNo
Number typeIrrational
Verification124.19339757012 ≈ 15424

On this page

How the answer is calculated

We solve x2 = 15424. The resulting value is x = 124.1933975701.

Verification: 124.19339757012 ≈ 15424.

Simplified radical form

The square root of 15424 in simplified radical form is 8√241.

This is equivalent to √15424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12415376
Upper or equal12515625

Nearby square roots

NumberSquare root
√15421124.181319046
√15422124.1853453512
√15423124.1893715259
√15424124.1933975701
√15425124.1974234837
√15426124.2014492669
√15427124.2054749196

Number properties

Is 15424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15424 is irrational because 15424 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 15424.