√121 =
11
Exact
Square root of 121 — 11
Exact
The square root of 121 is 11, because 11 × 11 = 121.
- As a decimal
- 11
- Simplified surd
- √121 = 11
- Between
- 11
- Squared
- 121² = 14641
- Cube root
- ∛121 ≈ 4.946087
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.
√121 = √(121 × 1) = 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 121?
11 exactly.
Q. Can the surd be simplified?
Yes: 121 = 121 × 1, so 11 comes out and it becomes 11.
Q. Between which integers does it fall?
It is the whole number 11.
Q. What is the cube root of 121?
About 4.946087.