Square root of 1404

The square root of 1404 is 37.469988 (rounded to 6 decimal places). In simplest radical form it is 6√39.

Square root of 1404

Pick any whole number from 1 to 10,000.

\sqrt{1404} = 6\sqrt{39} \approx 37.469988

How to work it out

1
The square root of 1404 is the number that multiplied by itself gives 1404.
2
1404 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
3
Pull out the biggest square factor: 1404 = 36 × 39, so
$\sqrt{1404} = \sqrt{36 \times 39} = 6\sqrt{39}$
4
A calculator, or long division of digits, gives
$\sqrt{1404} \approx 37.469988$

LaTeX source of the formulas on this page

\[ \sqrt{1404} = 6\sqrt{39} \approx 37.469988 \]
\[ \sqrt{1404} = \sqrt{36 \times 39} = 6\sqrt{39} \]
\[ \sqrt{1404} \approx 37.469988 \]

What is the square root of 1404?

The square root of 1404 is 37.469988 (rounded to 6 decimal places). In simplest radical form it is 6√39.

Is 1404 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1404 squared?

1404 × 1404 = 1971216.

What is the square root of 1404 rounded to 2 decimals?

37.47.