Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 13667?

The square root of 13667 is 116.9059451012. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13667 = 116.9059451012
CalculatedNon-perfect squareIrrational
Exact form√13667
Perfect squareNo
Number typeIrrational
Verification116.90594510122 ≈ 13667

On this page

How the answer is calculated

We solve x2 = 13667. The resulting value is x = 116.9059451012.

Verification: 116.90594510122 ≈ 13667.

Simplified radical form

The square root of 13667 in simplified radical form is √13667.

There are no square factors that can be taken outside the radical, so √13667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13664116.8931135696
√13665116.8973909033
√13666116.9016680805
√13667116.9059451012
√13668116.9102219654
√13669116.9144986732
√13670116.9187752245

Number properties

Is 13667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13667 is irrational because 13667 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 13667.