Square root of 4230

The square root of 4230 is 65.03845 (rounded to 6 decimal places). In simplest radical form it is 3√470.

Square root of 4230

Pick any whole number from 1 to 10,000.

\sqrt{4230} = 3\sqrt{470} \approx 65.03845

How to work it out

1
The square root of 4230 is the number that multiplied by itself gives 4230.
2
4230 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4230 = 9 × 470, so
$\sqrt{4230} = \sqrt{9 \times 470} = 3\sqrt{470}$
4
A calculator, or long division of digits, gives
$\sqrt{4230} \approx 65.03845$

LaTeX source of the formulas on this page

\[ \sqrt{4230} = 3\sqrt{470} \approx 65.03845 \]
\[ \sqrt{4230} = \sqrt{9 \times 470} = 3\sqrt{470} \]
\[ \sqrt{4230} \approx 65.03845 \]

What is the square root of 4230?

The square root of 4230 is 65.03845 (rounded to 6 decimal places). In simplest radical form it is 3√470.

Is 4230 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4230 squared?

4230 × 4230 = 17892900.

What is the square root of 4230 rounded to 2 decimals?

65.04.