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What is the Square Root of 504?

The square root of 504 is 22.4499443206. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√504 = 22.4499443206
CalculatedNon-perfect squareIrrational
Exact form√504
Perfect squareNo
Number typeIrrational
Verification22.44994432062 ≈ 504

On this page

How the answer is calculated

We solve x2 = 504. The resulting value is x = 22.4499443206.

Verification: 22.44994432062 ≈ 504.

Simplified radical form

The square root of 504 in simplified radical form is 6√14.

This is equivalent to √504, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√50122.3830292856
√50222.4053565024
√50322.427661492
√50422.4499443206
√50522.4722050542
√50622.4944437584
√50722.5166604984

Number properties

Is 504 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√504 is irrational because 504 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 504.