What is the Square Root of 1269?

The square root of 1269 is 35.6230262611. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1269 = 35.6230262611
CalculatedNon-perfect squareIrrational
Exact form√1269
Perfect squareNo
Number typeIrrational
Verification35.62302626112 ≈ 1269

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How the answer is calculated

We solve x2 = 1269. The resulting value is x = 35.6230262611.

Verification: 35.62302626112 ≈ 1269.

Simplified radical form

The square root of 1269 in simplified radical form is 3√141.

This is equivalent to √1269, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal351225
Upper or equal361296

Nearby square roots

NumberSquare root
√126635.5808937493
√126735.5949434611
√126835.6089876295
√126935.6230262611
√127035.6370593624
√127135.65108694
√127235.6651090003

Number properties

Is 1269 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1269 is irrational because 1269 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 1269.