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What is the Square Root of 1208?

The square root of 1208 is 34.756294394. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1208 = 34.756294394
CalculatedNon-perfect squareIrrational
Exact form√1208
Perfect squareNo
Number typeIrrational
Verification34.7562943942 ≈ 1208

On this page

How the answer is calculated

We solve x2 = 1208. The resulting value is x = 34.756294394.

Verification: 34.7562943942 ≈ 1208.

Simplified radical form

The square root of 1208 in simplified radical form is 2√302.

This is equivalent to √1208, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√120534.7131099154
√120634.7275107084
√120734.7419055321
√120834.756294394
√120934.7706773014
√121034.7850542619
√121134.7994252826

Number properties

Is 1208 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1208 is irrational because 1208 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 1208.