Square root of 1380

The square root of 1380 is 37.148351 (rounded to 6 decimal places). In simplest radical form it is 2√345.

Square root of 1380

Pick any whole number from 1 to 10,000.

\sqrt{1380} = 2\sqrt{345} \approx 37.148351

How to work it out

1
The square root of 1380 is the number that multiplied by itself gives 1380.
2
1380 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: 1380 = 4 × 345, so
$\sqrt{1380} = \sqrt{4 \times 345} = 2\sqrt{345}$
4
A calculator, or long division of digits, gives
$\sqrt{1380} \approx 37.148351$

LaTeX source of the formulas on this page

\[ \sqrt{1380} = 2\sqrt{345} \approx 37.148351 \]
\[ \sqrt{1380} = \sqrt{4 \times 345} = 2\sqrt{345} \]
\[ \sqrt{1380} \approx 37.148351 \]

What is the square root of 1380?

The square root of 1380 is 37.148351 (rounded to 6 decimal places). In simplest radical form it is 2√345.

Is 1380 a perfect square?

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

What is 1380 squared?

1380 × 1380 = 1904400.

What is the square root of 1380 rounded to 2 decimals?

37.15.