√98 =
7√2
≈ 9.899495
Square root of 98 — 9.899495 (7√2)
Irrational
The square root of 98 is about 9.899495, or exactly 7√2. It lies between 9 and 10.
- As a decimal
- ≈ 9.899495
- Simplified surd
- √98 = 7√2
- Between
- 9 < √98 < 10
- Squared
- 98² = 9604
- Cube root
- ∛98 ≈ 4.610436
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.
√98 = √(49 × 2) = 7√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 98?
About 9.899495, or exactly 7√2.
Q. Can the surd be simplified?
Yes: 98 = 49 × 2, so 7 comes out and it becomes 7√2.
Q. Between which integers does it fall?
Between 9 and 10.
Q. What is the cube root of 98?
About 4.610436.