Square root of 1616

The square root of 1616 is 40.199502 (rounded to 6 decimal places). In simplest radical form it is 4√101.

Square root of 1616

Pick any whole number from 1 to 10,000.

\sqrt{1616} = 4\sqrt{101} \approx 40.199502

How to work it out

1
The square root of 1616 is the number that multiplied by itself gives 1616.
2
1616 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: 1616 = 16 × 101, so
$\sqrt{1616} = \sqrt{16 \times 101} = 4\sqrt{101}$
4
A calculator, or long division of digits, gives
$\sqrt{1616} \approx 40.199502$

LaTeX source of the formulas on this page

\[ \sqrt{1616} = 4\sqrt{101} \approx 40.199502 \]
\[ \sqrt{1616} = \sqrt{16 \times 101} = 4\sqrt{101} \]
\[ \sqrt{1616} \approx 40.199502 \]

What is the square root of 1616?

The square root of 1616 is 40.199502 (rounded to 6 decimal places). In simplest radical form it is 4√101.

Is 1616 a perfect square?

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

What is 1616 squared?

1616 × 1616 = 2611456.

What is the square root of 1616 rounded to 2 decimals?

40.20.