√162 =
9√2
≈ 12.727922
Square root of 162 — 12.727922 (9√2)
Irrational
The square root of 162 is about 12.727922, or exactly 9√2. It lies between 12 and 13.
- As a decimal
- ≈ 12.727922
- Simplified surd
- √162 = 9√2
- Between
- 12 < √162 < 13
- Squared
- 162² = 26244
- Cube root
- ∛162 ≈ 5.451362
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.
√162 = √(81 × 2) = 9√2
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 162?
About 12.727922, or exactly 9√2.
Q. Can the surd be simplified?
Yes: 162 = 81 × 2, so 9 comes out and it becomes 9√2.
Q. Between which integers does it fall?
Between 12 and 13.
Q. What is the cube root of 162?
About 5.451362.