Square root of 1384

The square root of 1384 is 37.20215 (rounded to 6 decimal places). In simplest radical form it is 2√346.

Square root of 1384

Pick any whole number from 1 to 10,000.

\sqrt{1384} = 2\sqrt{346} \approx 37.20215

How to work it out

1
The square root of 1384 is the number that multiplied by itself gives 1384.
2
1384 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: 1384 = 4 × 346, so
$\sqrt{1384} = \sqrt{4 \times 346} = 2\sqrt{346}$
4
A calculator, or long division of digits, gives
$\sqrt{1384} \approx 37.20215$

LaTeX source of the formulas on this page

\[ \sqrt{1384} = 2\sqrt{346} \approx 37.20215 \]
\[ \sqrt{1384} = \sqrt{4 \times 346} = 2\sqrt{346} \]
\[ \sqrt{1384} \approx 37.20215 \]

What is the square root of 1384?

The square root of 1384 is 37.20215 (rounded to 6 decimal places). In simplest radical form it is 2√346.

Is 1384 a perfect square?

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

What is 1384 squared?

1384 × 1384 = 1915456.

What is the square root of 1384 rounded to 2 decimals?

37.20.