Square root of 1604

The square root of 1604 is 40.049969 (rounded to 6 decimal places). In simplest radical form it is 2√401.

Square root of 1604

Pick any whole number from 1 to 10,000.

\sqrt{1604} = 2\sqrt{401} \approx 40.049969

How to work it out

1
The square root of 1604 is the number that multiplied by itself gives 1604.
2
1604 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: 1604 = 4 × 401, so
$\sqrt{1604} = \sqrt{4 \times 401} = 2\sqrt{401}$
4
A calculator, or long division of digits, gives
$\sqrt{1604} \approx 40.049969$

LaTeX source of the formulas on this page

\[ \sqrt{1604} = 2\sqrt{401} \approx 40.049969 \]
\[ \sqrt{1604} = \sqrt{4 \times 401} = 2\sqrt{401} \]
\[ \sqrt{1604} \approx 40.049969 \]

What is the square root of 1604?

The square root of 1604 is 40.049969 (rounded to 6 decimal places). In simplest radical form it is 2√401.

Is 1604 a perfect square?

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

What is 1604 squared?

1604 × 1604 = 2572816.

What is the square root of 1604 rounded to 2 decimals?

40.05.