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What is the Square Root of 1224?

The square root of 1224 is 34.9857113691. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1224 = 34.9857113691
CalculatedNon-perfect squareIrrational
Exact form√1224
Perfect squareNo
Number typeIrrational
Verification34.98571136912 ≈ 1224

On this page

How the answer is calculated

We solve x2 = 1224. The resulting value is x = 34.9857113691.

Verification: 34.98571136912 ≈ 1224.

Simplified radical form

The square root of 1224 in simplified radical form is 6√34.

This is equivalent to √1224, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√122134.9428104193
√122234.9571165859
√122334.9714169001
√122434.9857113691
√122535
√122635.0142828
√122735.0285597763

Number properties

Is 1224 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1224 is irrational because 1224 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 1224.