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What is the Square Root of 624?

The square root of 624 is 24.9799919936. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√624 = 24.9799919936
CalculatedNon-perfect squareIrrational
Exact form√624
Perfect squareNo
Number typeIrrational
Verification24.97999199362 ≈ 624

On this page

How the answer is calculated

We solve x2 = 624. The resulting value is x = 24.9799919936.

Verification: 24.97999199362 ≈ 624.

Simplified radical form

The square root of 624 in simplified radical form is 4√39.

This is equivalent to √624, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal24576
Upper or equal25625

Nearby square roots

NumberSquare root
√62124.9198715888
√62224.9399278267
√62324.9599679487
√62424.9799919936
√62525
√62625.0199920064
√62725.0399680511

Number properties

Is 624 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√624 is irrational because 624 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 624.