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What is the Square Root of 1200?

The square root of 1200 is 34.6410161514. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1200 = 34.6410161514
CalculatedNon-perfect squareIrrational
Exact form√1200
Perfect squareNo
Number typeIrrational
Verification34.64101615142 ≈ 1200

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How the answer is calculated

We solve x2 = 1200. The resulting value is x = 34.6410161514.

Verification: 34.64101615142 ≈ 1200.

Simplified radical form

The square root of 1200 in simplified radical form is 20√3.

This is equivalent to √1200, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√119734.597687784
√119834.6121365998
√119934.6265793864
√120034.6410161514
√120134.6554469023
√120234.6698716467
√120334.684290392

Number properties

Is 1200 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1200 is irrational because 1200 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 1200.