Square root of 4688

The square root of 4688 is 68.468971 (rounded to 6 decimal places). In simplest radical form it is 4√293.

Square root of 4688

Pick any whole number from 1 to 10,000.

\sqrt{4688} = 4\sqrt{293} \approx 68.468971

How to work it out

1
The square root of 4688 is the number that multiplied by itself gives 4688.
2
4688 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: 4688 = 16 × 293, so
$\sqrt{4688} = \sqrt{16 \times 293} = 4\sqrt{293}$
4
A calculator, or long division of digits, gives
$\sqrt{4688} \approx 68.468971$

LaTeX source of the formulas on this page

\[ \sqrt{4688} = 4\sqrt{293} \approx 68.468971 \]
\[ \sqrt{4688} = \sqrt{16 \times 293} = 4\sqrt{293} \]
\[ \sqrt{4688} \approx 68.468971 \]

What is the square root of 4688?

The square root of 4688 is 68.468971 (rounded to 6 decimal places). In simplest radical form it is 4√293.

Is 4688 a perfect square?

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

What is 4688 squared?

4688 × 4688 = 21977344.

What is the square root of 4688 rounded to 2 decimals?

68.47.