Square root of 756
The square root of 756 is 27.495454 (rounded to 6 decimal places). In simplest radical form it is 6ā21.
Square root of 756
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 756 is the number that multiplied by itself gives 756.
- 2
756 is between the perfect squares 27Ā² = 729 and 28Ā² = 784, so its square root is between 27 and 28.
- 3
Pull out the biggest square factor: 756 = 36 Ć 21, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{756} = 6\sqrt{21} \approx 27.495454 \]
\[ \sqrt{756} = \sqrt{36 \times 21} = 6\sqrt{21} \]
\[ \sqrt{756} \approx 27.495454 \]Squares around 756
| Number | Squared |
|---|---|
| 26 | 676 |
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
Questions
What is the square root of 756?
The square root of 756 is 27.495454 (rounded to 6 decimal places). In simplest radical form it is 6ā21.
Is 756 a perfect square?
No. It lies between 27Ā² = 729 and 28Ā² = 784.
What is 756 squared?
756 Ć 756 = 571536.
What is the square root of 756 rounded to 2 decimals?
27.50.