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What is the Square Root of 1297?

The square root of 1297 is 36.0138862107. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1297 = 36.0138862107
CalculatedNon-perfect squareIrrational
Exact form√1297
Perfect squareNo
Number typeIrrational
Verification36.01388621072 ≈ 1297

On this page

How the answer is calculated

We solve x2 = 1297. The resulting value is x = 36.0138862107.

Verification: 36.01388621072 ≈ 1297.

Simplified radical form

The square root of 1297 in simplified radical form is √1297.

There are no square factors that can be taken outside the radical, so √1297 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√129435.9722114972
√129535.9861084309
√129636
√129736.0138862107
√129836.0277670693
√129936.0416425819
√130036.0555127546

Number properties

Is 1297 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1297 is irrational because 1297 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 1297.