Square root of 5000
The square root of 5000 is 70.710678 (rounded to 6 decimal places). In simplest radical form it is 50ā2.
Square root of 5000
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5000 is the number that multiplied by itself gives 5000.
- 2
5000 is between the perfect squares 70Ā² = 4900 and 71Ā² = 5041, so its square root is between 70 and 71.
- 3
Pull out the biggest square factor: 5000 = 2500 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{5000} = 50\sqrt{2} \approx 70.710678 \]
\[ \sqrt{5000} = \sqrt{2500 \times 2} = 50\sqrt{2} \]
\[ \sqrt{5000} \approx 70.710678 \]Squares around 5000
| Number | Squared |
|---|---|
| 69 | 4761 |
| 70 | 4900 |
| 71 | 5041 |
| 72 | 5184 |
Questions
What is the square root of 5000?
The square root of 5000 is 70.710678 (rounded to 6 decimal places). In simplest radical form it is 50ā2.
Is 5000 a perfect square?
No. It lies between 70Ā² = 4900 and 71Ā² = 5041.
What is 5000 squared?
5000 Ć 5000 = 25000000.
What is the square root of 5000 rounded to 2 decimals?
70.71.