Square root of 84
The square root of 84 is 9.165151 (rounded to 6 decimal places). In simplest radical form it is 2ā21.
Square root of 84
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 84 is the number that multiplied by itself gives 84.
- 2
84 is between the perfect squares 9Ā² = 81 and 10Ā² = 100, so its square root is between 9 and 10.
- 3
Pull out the biggest square factor: 84 = 4 Ć 21, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{84} = 2\sqrt{21} \approx 9.165151 \]
\[ \sqrt{84} = \sqrt{4 \times 21} = 2\sqrt{21} \]
\[ \sqrt{84} \approx 9.165151 \]Squares around 84
| Number | Squared |
|---|---|
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
Questions
What is the square root of 84?
The square root of 84 is 9.165151 (rounded to 6 decimal places). In simplest radical form it is 2ā21.
Is 84 a perfect square?
No. It lies between 9Ā² = 81 and 10Ā² = 100.
What is 84 squared?
84 Ć 84 = 7056.
What is the square root of 84 rounded to 2 decimals?
9.17.