Square root of 5364
The square root of 5364 is 73.239334 (rounded to 6 decimal places). In simplest radical form it is 6ā149.
Square root of 5364
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5364 is the number that multiplied by itself gives 5364.
- 2
5364 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: 5364 = 36 Ć 149, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{5364} = 6\sqrt{149} \approx 73.239334 \]
\[ \sqrt{5364} = \sqrt{36 \times 149} = 6\sqrt{149} \]
\[ \sqrt{5364} \approx 73.239334 \]Squares around 5364
| Number | Squared |
|---|---|
| 72 | 5184 |
| 73 | 5329 |
| 74 | 5476 |
| 75 | 5625 |
Questions
What is the square root of 5364?
The square root of 5364 is 73.239334 (rounded to 6 decimal places). In simplest radical form it is 6ā149.
Is 5364 a perfect square?
No. It lies between 73² = 5329 and 74² = 5476.
What is 5364 squared?
5364 Ć 5364 = 28772496.
What is the square root of 5364 rounded to 2 decimals?
73.24.