Square root of 4750

The square root of 4750 is 68.920244 (rounded to 6 decimal places). In simplest radical form it is 5√190.

Square root of 4750

Pick any whole number from 1 to 10,000.

\sqrt{4750} = 5\sqrt{190} \approx 68.920244

How to work it out

1
The square root of 4750 is the number that multiplied by itself gives 4750.
2
4750 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: 4750 = 25 × 190, so
$\sqrt{4750} = \sqrt{25 \times 190} = 5\sqrt{190}$
4
A calculator, or long division of digits, gives
$\sqrt{4750} \approx 68.920244$

LaTeX source of the formulas on this page

\[ \sqrt{4750} = 5\sqrt{190} \approx 68.920244 \]
\[ \sqrt{4750} = \sqrt{25 \times 190} = 5\sqrt{190} \]
\[ \sqrt{4750} \approx 68.920244 \]

What is the square root of 4750?

The square root of 4750 is 68.920244 (rounded to 6 decimal places). In simplest radical form it is 5√190.

Is 4750 a perfect square?

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

What is 4750 squared?

4750 × 4750 = 22562500.

What is the square root of 4750 rounded to 2 decimals?

68.92.