√132 =
2√33
≈ 11.489125
Square root of 132 — 11.489125 (2√33)
Irrational
The square root of 132 is about 11.489125, or exactly 2√33. It lies between 11 and 12.
- As a decimal
- ≈ 11.489125
- Simplified surd
- √132 = 2√33
- Between
- 11 < √132 < 12
- Squared
- 132² = 17424
- Cube root
- ∛132 ≈ 5.091643
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.
√132 = √(4 × 33) = 2√33
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 132?
About 11.489125, or exactly 2√33.
Q. Can the surd be simplified?
Yes: 132 = 4 × 33, so 2 comes out and it becomes 2√33.
Q. Between which integers does it fall?
Between 11 and 12.
Q. What is the cube root of 132?
About 5.091643.