What is the Square Root of 1236?

The square root of 1236 is 35.1567916625. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1236 = 35.1567916625
CalculatedNon-perfect squareIrrational
Exact form√1236
Perfect squareNo
Number typeIrrational
Verification35.15679166252 ≈ 1236

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How the answer is calculated

We solve x2 = 1236. The resulting value is x = 35.1567916625.

Verification: 35.15679166252 ≈ 1236.

Simplified radical form

The square root of 1236 in simplified radical form is 2√309.

This is equivalent to √1236, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal351225
Upper or equal361296

Nearby square roots

NumberSquare root
√123335.1140997322
√123435.1283361405
√123535.1425667816
√123635.1567916625
√123735.1710107901
√123835.1852241715
√123935.1994318136

Number properties

Is 1236 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1236 is irrational because 1236 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 1236.