Square root of 1388

The square root of 1388 is 37.255872 (rounded to 6 decimal places). In simplest radical form it is 2√347.

Square root of 1388

Pick any whole number from 1 to 10,000.

\sqrt{1388} = 2\sqrt{347} \approx 37.255872

How to work it out

1
The square root of 1388 is the number that multiplied by itself gives 1388.
2
1388 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: 1388 = 4 × 347, so
$\sqrt{1388} = \sqrt{4 \times 347} = 2\sqrt{347}$
4
A calculator, or long division of digits, gives
$\sqrt{1388} \approx 37.255872$

LaTeX source of the formulas on this page

\[ \sqrt{1388} = 2\sqrt{347} \approx 37.255872 \]
\[ \sqrt{1388} = \sqrt{4 \times 347} = 2\sqrt{347} \]
\[ \sqrt{1388} \approx 37.255872 \]

What is the square root of 1388?

The square root of 1388 is 37.255872 (rounded to 6 decimal places). In simplest radical form it is 2√347.

Is 1388 a perfect square?

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

What is 1388 squared?

1388 × 1388 = 1926544.

What is the square root of 1388 rounded to 2 decimals?

37.26.