Square root of 4648

The square root of 4648 is 68.176242 (rounded to 6 decimal places). In simplest radical form it is 2√1162.

Square root of 4648

Pick any whole number from 1 to 10,000.

\sqrt{4648} = 2\sqrt{1162} \approx 68.176242

How to work it out

1
The square root of 4648 is the number that multiplied by itself gives 4648.
2
4648 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: 4648 = 4 × 1162, so
$\sqrt{4648} = \sqrt{4 \times 1162} = 2\sqrt{1162}$
4
A calculator, or long division of digits, gives
$\sqrt{4648} \approx 68.176242$

LaTeX source of the formulas on this page

\[ \sqrt{4648} = 2\sqrt{1162} \approx 68.176242 \]
\[ \sqrt{4648} = \sqrt{4 \times 1162} = 2\sqrt{1162} \]
\[ \sqrt{4648} \approx 68.176242 \]

What is the square root of 4648?

The square root of 4648 is 68.176242 (rounded to 6 decimal places). In simplest radical form it is 2√1162.

Is 4648 a perfect square?

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

What is 4648 squared?

4648 × 4648 = 21603904.

What is the square root of 4648 rounded to 2 decimals?

68.18.