Square root of 4743

The square root of 4743 is 68.869442 (rounded to 6 decimal places). In simplest radical form it is 3√527.

Square root of 4743

Pick any whole number from 1 to 10,000.

\sqrt{4743} = 3\sqrt{527} \approx 68.869442

How to work it out

1
The square root of 4743 is the number that multiplied by itself gives 4743.
2
4743 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
3
Pull out the biggest square factor: 4743 = 9 × 527, so
$\sqrt{4743} = \sqrt{9 \times 527} = 3\sqrt{527}$
4
A calculator, or long division of digits, gives
$\sqrt{4743} \approx 68.869442$

LaTeX source of the formulas on this page

\[ \sqrt{4743} = 3\sqrt{527} \approx 68.869442 \]
\[ \sqrt{4743} = \sqrt{9 \times 527} = 3\sqrt{527} \]
\[ \sqrt{4743} \approx 68.869442 \]

What is the square root of 4743?

The square root of 4743 is 68.869442 (rounded to 6 decimal places). In simplest radical form it is 3√527.

Is 4743 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4743 squared?

4743 × 4743 = 22496049.

What is the square root of 4743 rounded to 2 decimals?

68.87.