Square root of 1288
The square root of 1288 is 35.888717 (rounded to 6 decimal places). In simplest radical form it is 2ā322.
Square root of 1288
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1288 is the number that multiplied by itself gives 1288.
- 2
1288 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
- 3
Pull out the biggest square factor: 1288 = 4 Ć 322, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1288} = 2\sqrt{322} \approx 35.888717 \]
\[ \sqrt{1288} = \sqrt{4 \times 322} = 2\sqrt{322} \]
\[ \sqrt{1288} \approx 35.888717 \]Squares around 1288
| Number | Squared |
|---|---|
| 34 | 1156 |
| 35 | 1225 |
| 36 | 1296 |
| 37 | 1369 |
Questions
What is the square root of 1288?
The square root of 1288 is 35.888717 (rounded to 6 decimal places). In simplest radical form it is 2ā322.
Is 1288 a perfect square?
No. It lies between 35² = 1225 and 36² = 1296.
What is 1288 squared?
1288 Ć 1288 = 1658944.
What is the square root of 1288 rounded to 2 decimals?
35.89.