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What is the Square Root of 1260?

The square root of 1260 is 35.4964786986. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1260 = 35.4964786986
CalculatedNon-perfect squareIrrational
Exact form√1260
Perfect squareNo
Number typeIrrational
Verification35.49647869862 ≈ 1260

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How the answer is calculated

We solve x2 = 1260. The resulting value is x = 35.4964786986.

Verification: 35.49647869862 ≈ 1260.

Simplified radical form

The square root of 1260 in simplified radical form is 6√35.

This is equivalent to √1260, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal351225
Upper or equal361296

Nearby square roots

NumberSquare root
√125735.4541958025
√125835.4682957019
√125935.4823899984
√126035.4964786986
√126135.5105618091
√126235.5246393367
√126335.5387112878

Number properties

Is 1260 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1260 is irrational because 1260 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 1260.