What is the Square Root of 216?

The square root of 216 is 14.6969384567. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√216 = 14.6969384567
CalculatedNon-perfect squareIrrational
Exact form√216
Perfect squareNo
Number typeIrrational
Verification14.69693845672 ≈ 216

On this page

How the answer is calculated

We solve x2 = 216. The resulting value is x = 14.6969384567.

Verification: 14.69693845672 ≈ 216.

Simplified radical form

The square root of 216 in simplified radical form is 6√6.

This is equivalent to √216, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√21314.5945195193
√21414.6287388383
√21514.6628782986
√21614.6969384567
√21714.7309198627
√21814.7648230602
√21914.7986485869

Number properties

Is 216 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√216 is irrational because 216 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 216.