Square root of 1359

The square root of 1359 is 36.864617 (rounded to 6 decimal places). In simplest radical form it is 3√151.

Square root of 1359

Pick any whole number from 1 to 10,000.

\sqrt{1359} = 3\sqrt{151} \approx 36.864617

How to work it out

1
The square root of 1359 is the number that multiplied by itself gives 1359.
2
1359 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1359 = 9 × 151, so
$\sqrt{1359} = \sqrt{9 \times 151} = 3\sqrt{151}$
4
A calculator, or long division of digits, gives
$\sqrt{1359} \approx 36.864617$

LaTeX source of the formulas on this page

\[ \sqrt{1359} = 3\sqrt{151} \approx 36.864617 \]
\[ \sqrt{1359} = \sqrt{9 \times 151} = 3\sqrt{151} \]
\[ \sqrt{1359} \approx 36.864617 \]

What is the square root of 1359?

The square root of 1359 is 36.864617 (rounded to 6 decimal places). In simplest radical form it is 3√151.

Is 1359 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1359 squared?

1359 × 1359 = 1846881.

What is the square root of 1359 rounded to 2 decimals?

36.86.