Square root of 1364
The square root of 1364 is 36.932371 (rounded to 6 decimal places). In simplest radical form it is 2ā341.
Square root of 1364
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1364 is the number that multiplied by itself gives 1364.
- 2
1364 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
- 3
Pull out the biggest square factor: 1364 = 4 Ć 341, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1364} = 2\sqrt{341} \approx 36.932371 \]
\[ \sqrt{1364} = \sqrt{4 \times 341} = 2\sqrt{341} \]
\[ \sqrt{1364} \approx 36.932371 \]Squares around 1364
| Number | Squared |
|---|---|
| 35 | 1225 |
| 36 | 1296 |
| 37 | 1369 |
| 38 | 1444 |
Questions
What is the square root of 1364?
The square root of 1364 is 36.932371 (rounded to 6 decimal places). In simplest radical form it is 2ā341.
Is 1364 a perfect square?
No. It lies between 36² = 1296 and 37² = 1369.
What is 1364 squared?
1364 Ć 1364 = 1860496.
What is the square root of 1364 rounded to 2 decimals?
36.93.