√104 =
2√26
≈ 10.198039
Square root of 104 — 10.198039 (2√26)
Irrational
The square root of 104 is about 10.198039, or exactly 2√26. It lies between 10 and 11.
- As a decimal
- ≈ 10.198039
- Simplified surd
- √104 = 2√26
- Between
- 10 < √104 < 11
- Squared
- 104² = 10816
- Cube root
- ∛104 ≈ 4.702669
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.
√104 = √(4 × 26) = 2√26
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 104?
About 10.198039, or exactly 2√26.
Q. Can the surd be simplified?
Yes: 104 = 4 × 26, so 2 comes out and it becomes 2√26.
Q. Between which integers does it fall?
Between 10 and 11.
Q. What is the cube root of 104?
About 4.702669.