√220 =
2√55
≈ 14.832397
Square root of 220 — 14.832397 (2√55)
Irrational
The square root of 220 is about 14.832397, or exactly 2√55. It lies between 14 and 15.
- As a decimal
- ≈ 14.832397
- Simplified surd
- √220 = 2√55
- Between
- 14 < √220 < 15
- Squared
- 220² = 48400
- Cube root
- ∛220 ≈ 6.036811
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.
√220 = √(4 × 55) = 2√55
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 220?
About 14.832397, or exactly 2√55.
Q. Can the surd be simplified?
Yes: 220 = 4 × 55, so 2 comes out and it becomes 2√55.
Q. Between which integers does it fall?
Between 14 and 15.
Q. What is the cube root of 220?
About 6.036811.