√116 =
2√29
≈ 10.77033
Square root of 116 — 10.77033 (2√29)
Irrational
The square root of 116 is about 10.77033, or exactly 2√29. It lies between 10 and 11.
- As a decimal
- ≈ 10.77033
- Simplified surd
- √116 = 2√29
- Between
- 10 < √116 < 11
- Squared
- 116² = 13456
- Cube root
- ∛116 ≈ 4.876999
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.
√116 = √(4 × 29) = 2√29
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 116?
About 10.77033, or exactly 2√29.
Q. Can the surd be simplified?
Yes: 116 = 4 × 29, so 2 comes out and it becomes 2√29.
Q. Between which integers does it fall?
Between 10 and 11.
Q. What is the cube root of 116?
About 4.876999.