√96 =
4√6
≈ 9.797959
Square root of 96 — 9.797959 (4√6)
Irrational
The square root of 96 is about 9.797959, or exactly 4√6. It lies between 9 and 10.
- As a decimal
- ≈ 9.797959
- Simplified surd
- √96 = 4√6
- Between
- 9 < √96 < 10
- Squared
- 96² = 9216
- Cube root
- ∛96 ≈ 4.578857
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.
√96 = √(16 × 6) = 4√6
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 96?
About 9.797959, or exactly 4√6.
Q. Can the surd be simplified?
Yes: 96 = 16 × 6, so 4 comes out and it becomes 4√6.
Q. Between which integers does it fall?
Between 9 and 10.
Q. What is the cube root of 96?
About 4.578857.