Square root of 5464
The square root of 5464 is 73.918874 (rounded to 6 decimal places). In simplest radical form it is 2ā1366.
Square root of 5464
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5464 is the number that multiplied by itself gives 5464.
- 2
5464 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.
- 3
Pull out the biggest square factor: 5464 = 4 Ć 1366, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{5464} = 2\sqrt{1366} \approx 73.918874 \]
\[ \sqrt{5464} = \sqrt{4 \times 1366} = 2\sqrt{1366} \]
\[ \sqrt{5464} \approx 73.918874 \]Squares around 5464
| Number | Squared |
|---|---|
| 72 | 5184 |
| 73 | 5329 |
| 74 | 5476 |
| 75 | 5625 |
Questions
What is the square root of 5464?
The square root of 5464 is 73.918874 (rounded to 6 decimal places). In simplest radical form it is 2ā1366.
Is 5464 a perfect square?
No. It lies between 73² = 5329 and 74² = 5476.
What is 5464 squared?
5464 Ć 5464 = 29855296.
What is the square root of 5464 rounded to 2 decimals?
73.92.