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What is the Square Root of 13243?

The square root of 13243 is 115.0782342583. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13243 = 115.0782342583
CalculatedNon-perfect squareIrrational
Exact form√13243
Perfect squareNo
Number typeIrrational
Verification115.07823425832 ≈ 13243

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How the answer is calculated

We solve x2 = 13243. The resulting value is x = 115.0782342583.

Verification: 115.07823425832 ≈ 13243.

Simplified radical form

The square root of 13243 in simplified radical form is √13243.

There are no square factors that can be taken outside the radical, so √13243 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13240115.0651989091
√13241115.0695441896
√13242115.073889306
√13243115.0782342583
√13244115.0825790465
√13245115.0869236708
√13246115.091268131

Number properties

Is 13243 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13243 is irrational because 13243 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 13243.