Square root of 748
The square root of 748 is 27.349589 (rounded to 6 decimal places). In simplest radical form it is 2ā187.
Square root of 748
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 748 is the number that multiplied by itself gives 748.
- 2
748 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: 748 = 4 Ć 187, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{748} = 2\sqrt{187} \approx 27.349589 \]
\[ \sqrt{748} = \sqrt{4 \times 187} = 2\sqrt{187} \]
\[ \sqrt{748} \approx 27.349589 \]Squares around 748
| Number | Squared |
|---|---|
| 26 | 676 |
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
Questions
What is the square root of 748?
The square root of 748 is 27.349589 (rounded to 6 decimal places). In simplest radical form it is 2ā187.
Is 748 a perfect square?
No. It lies between 27Ā² = 729 and 28Ā² = 784.
What is 748 squared?
748 Ć 748 = 559504.
What is the square root of 748 rounded to 2 decimals?
27.35.