Square root of 50
The square root of 50 is 7.071068 (rounded to 6 decimal places). In simplest radical form it is 5ā2.
Square root of 50
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 50 is the number that multiplied by itself gives 50.
- 2
50 is between the perfect squares 7² = 49 and 8² = 64, so its square root is between 7 and 8.
- 3
Pull out the biggest square factor: 50 = 25 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{50} = 5\sqrt{2} \approx 7.071068 \]
\[ \sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2} \]
\[ \sqrt{50} \approx 7.071068 \]Squares around 50
| Number | Squared |
|---|---|
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
Questions
What is the square root of 50?
The square root of 50 is 7.071068 (rounded to 6 decimal places). In simplest radical form it is 5ā2.
Is 50 a perfect square?
No. It lies between 7² = 49 and 8² = 64.
What is 50 squared?
50 Ć 50 = 2500.
What is the square root of 50 rounded to 2 decimals?
7.07.