Square root of 4221

The square root of 4221 is 64.969223 (rounded to 6 decimal places). In simplest radical form it is 3√469.

Square root of 4221

Pick any whole number from 1 to 10,000.

\sqrt{4221} = 3\sqrt{469} \approx 64.969223

How to work it out

1
The square root of 4221 is the number that multiplied by itself gives 4221.
2
4221 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: 4221 = 9 × 469, so
$\sqrt{4221} = \sqrt{9 \times 469} = 3\sqrt{469}$
4
A calculator, or long division of digits, gives
$\sqrt{4221} \approx 64.969223$

LaTeX source of the formulas on this page

\[ \sqrt{4221} = 3\sqrt{469} \approx 64.969223 \]
\[ \sqrt{4221} = \sqrt{9 \times 469} = 3\sqrt{469} \]
\[ \sqrt{4221} \approx 64.969223 \]

What is the square root of 4221?

The square root of 4221 is 64.969223 (rounded to 6 decimal places). In simplest radical form it is 3√469.

Is 4221 a perfect square?

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

What is 4221 squared?

4221 × 4221 = 17816841.

What is the square root of 4221 rounded to 2 decimals?

64.97.