Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 13837?

The square root of 13837 is 117.6307782853. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13837 = 117.6307782853
CalculatedNon-perfect squareIrrational
Exact form√13837
Perfect squareNo
Number typeIrrational
Verification117.63077828532 ≈ 13837

On this page

How the answer is calculated

We solve x2 = 13837. The resulting value is x = 117.6307782853.

Verification: 117.63077828532 ≈ 13837.

Simplified radical form

The square root of 13837 in simplified radical form is √13837.

There are no square factors that can be taken outside the radical, so √13837 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13834117.6180258294
√13835117.6222768016
√13836117.6265276203
√13837117.6307782853
√13838117.6350287967
√13839117.6392791545
√13840117.6435293588

Number properties

Is 13837 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13837 is irrational because 13837 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 13837.