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What is the Square Root of 1301?

The square root of 1301 is 36.0693775937. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1301 = 36.0693775937
CalculatedNon-perfect squareIrrational
Exact form√1301
Perfect squareNo
Number typeIrrational
Verification36.06937759372 ≈ 1301

On this page

How the answer is calculated

We solve x2 = 1301. The resulting value is x = 36.0693775937.

Verification: 36.06937759372 ≈ 1301.

Simplified radical form

The square root of 1301 in simplified radical form is √1301.

There are no square factors that can be taken outside the radical, so √1301 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√129836.0277670693
√129936.0416425819
√130036.0555127546
√130136.0693775937
√130236.0832371053
√130336.0970912956
√130436.1109401705

Number properties

Is 1301 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1301 is irrational because 1301 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 1301.