√216 =
6√6
≈ 14.696938
Square root of 216 — 14.696938 (6√6)
Irrational
The square root of 216 is about 14.696938, or exactly 6√6. It lies between 14 and 15.
- As a decimal
- ≈ 14.696938
- Simplified surd
- √216 = 6√6
- Between
- 14 < √216 < 15
- Squared
- 216² = 46656
- Cube root
- ∛216 = 6
How the surd is simplified
Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.
√216 = √(36 × 6) = 6√6
Nearby numbers
From 1 to 200
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How to read this
- The decimal is rounded; the surd form is the exact value.
- Pulling out a square factor simplifies the surd — √50 = 5√2.
- If the number is not a perfect square, the decimal never ends (irrational).
- Knowing which two integers it sits between is enough to estimate in your head.
Frequently asked questions
Q. What is the square root of 216?
About 14.696938, or exactly 6√6.
Q. Can the surd be simplified?
Yes: 216 = 36 × 6, so 6 comes out and it becomes 6√6.
Q. Between which integers does it fall?
Between 14 and 15.
Q. What is the cube root of 216?
6.