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What is the Square Root of 1300?

The square root of 1300 is 36.0555127546. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1300 = 36.0555127546
CalculatedNon-perfect squareIrrational
Exact form√1300
Perfect squareNo
Number typeIrrational
Verification36.05551275462 ≈ 1300

On this page

How the answer is calculated

We solve x2 = 1300. The resulting value is x = 36.0555127546.

Verification: 36.05551275462 ≈ 1300.

Simplified radical form

The square root of 1300 in simplified radical form is 10√13.

This is equivalent to √1300, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√129736.0138862107
√129836.0277670693
√129936.0416425819
√130036.0555127546
√130136.0693775937
√130236.0832371053
√130336.0970912956

Number properties

Is 1300 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1300 is irrational because 1300 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 1300.