√9 =
3
Exact
Square root of 9 — 3
Exact
The square root of 9 is 3, because 3 × 3 = 9.
- As a decimal
- 3
- Simplified surd
- √9 = 3
- Between
- 3
- Squared
- 9² = 81
- Cube root
- ∛9 ≈ 2.080084
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.
√9 = √(9 × 1) = 3
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 9?
3 exactly.
Q. Can the surd be simplified?
Yes: 9 = 9 × 1, so 3 comes out and it becomes 3.
Q. Between which integers does it fall?
It is the whole number 3.
Q. What is the cube root of 9?
About 2.080084.