Square root of 4167

The square root of 4167 is 64.552304 (rounded to 6 decimal places). In simplest radical form it is 3√463.

Square root of 4167

Pick any whole number from 1 to 10,000.

\sqrt{4167} = 3\sqrt{463} \approx 64.552304

How to work it out

1
The square root of 4167 is the number that multiplied by itself gives 4167.
2
4167 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.
3
Pull out the biggest square factor: 4167 = 9 × 463, so
$\sqrt{4167} = \sqrt{9 \times 463} = 3\sqrt{463}$
4
A calculator, or long division of digits, gives
$\sqrt{4167} \approx 64.552304$

LaTeX source of the formulas on this page

\[ \sqrt{4167} = 3\sqrt{463} \approx 64.552304 \]
\[ \sqrt{4167} = \sqrt{9 \times 463} = 3\sqrt{463} \]
\[ \sqrt{4167} \approx 64.552304 \]

What is the square root of 4167?

The square root of 4167 is 64.552304 (rounded to 6 decimal places). In simplest radical form it is 3√463.

Is 4167 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4167 squared?

4167 × 4167 = 17363889.

What is the square root of 4167 rounded to 2 decimals?

64.55.