√99 =
3√11
≈ 9.949874
Square root of 99 — 9.949874 (3√11)
Irrational
The square root of 99 is about 9.949874, or exactly 3√11. It lies between 9 and 10.
- As a decimal
- ≈ 9.949874
- Simplified surd
- √99 = 3√11
- Between
- 9 < √99 < 10
- Squared
- 99² = 9801
- Cube root
- ∛99 ≈ 4.626065
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.
√99 = √(9 × 11) = 3√11
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 99?
About 9.949874, or exactly 3√11.
Q. Can the surd be simplified?
Yes: 99 = 9 × 11, so 3 comes out and it becomes 3√11.
Q. Between which integers does it fall?
Between 9 and 10.
Q. What is the cube root of 99?
About 4.626065.