Square root of 1648

The square root of 1648 is 40.595566 (rounded to 6 decimal places). In simplest radical form it is 4√103.

Square root of 1648

Pick any whole number from 1 to 10,000.

\sqrt{1648} = 4\sqrt{103} \approx 40.595566

How to work it out

1
The square root of 1648 is the number that multiplied by itself gives 1648.
2
1648 is between the perfect squares 40² = 1600 and 41² = 1681, so its square root is between 40 and 41.
3
Pull out the biggest square factor: 1648 = 16 × 103, so
$\sqrt{1648} = \sqrt{16 \times 103} = 4\sqrt{103}$
4
A calculator, or long division of digits, gives
$\sqrt{1648} \approx 40.595566$

LaTeX source of the formulas on this page

\[ \sqrt{1648} = 4\sqrt{103} \approx 40.595566 \]
\[ \sqrt{1648} = \sqrt{16 \times 103} = 4\sqrt{103} \]
\[ \sqrt{1648} \approx 40.595566 \]

What is the square root of 1648?

The square root of 1648 is 40.595566 (rounded to 6 decimal places). In simplest radical form it is 4√103.

Is 1648 a perfect square?

No. It lies between 40² = 1600 and 41² = 1681.

What is 1648 squared?

1648 × 1648 = 2715904.

What is the square root of 1648 rounded to 2 decimals?

40.60.