√49 =
7
Exact
Square root of 49 — 7
Exact
The square root of 49 is 7, because 7 × 7 = 49.
- As a decimal
- 7
- Simplified surd
- √49 = 7
- Between
- 7
- Squared
- 49² = 2401
- Cube root
- ∛49 ≈ 3.659306
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.
√49 = √(49 × 1) = 7
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 49?
7 exactly.
Q. Can the surd be simplified?
Yes: 49 = 49 × 1, so 7 comes out and it becomes 7.
Q. Between which integers does it fall?
It is the whole number 7.
Q. What is the cube root of 49?
About 3.659306.