Square root of 1395

The square root of 1395 is 37.349699 (rounded to 6 decimal places). In simplest radical form it is 3√155.

Square root of 1395

Pick any whole number from 1 to 10,000.

\sqrt{1395} = 3\sqrt{155} \approx 37.349699

How to work it out

1
The square root of 1395 is the number that multiplied by itself gives 1395.
2
1395 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: 1395 = 9 × 155, so
$\sqrt{1395} = \sqrt{9 \times 155} = 3\sqrt{155}$
4
A calculator, or long division of digits, gives
$\sqrt{1395} \approx 37.349699$

LaTeX source of the formulas on this page

\[ \sqrt{1395} = 3\sqrt{155} \approx 37.349699 \]
\[ \sqrt{1395} = \sqrt{9 \times 155} = 3\sqrt{155} \]
\[ \sqrt{1395} \approx 37.349699 \]

What is the square root of 1395?

The square root of 1395 is 37.349699 (rounded to 6 decimal places). In simplest radical form it is 3√155.

Is 1395 a perfect square?

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

What is 1395 squared?

1395 × 1395 = 1946025.

What is the square root of 1395 rounded to 2 decimals?

37.35.