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What is the Square Root of 13201?

The square root of 13201 is 114.8956047897. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13201 = 114.8956047897
CalculatedNon-perfect squareIrrational
Exact form√13201
Perfect squareNo
Number typeIrrational
Verification114.89560478972 ≈ 13201

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How the answer is calculated

We solve x2 = 13201. The resulting value is x = 114.8956047897.

Verification: 114.89560478972 ≈ 13201.

Simplified radical form

The square root of 13201 in simplified radical form is √13201.

There are no square factors that can be taken outside the radical, so √13201 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13198114.8825487182
√13199114.8869009069
√13200114.8912529308
√13201114.8956047897
√13202114.8999564839
√13203114.9043080132
√13204114.9086593778

Number properties

Is 13201 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13201 is irrational because 13201 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 13201.