Square root of 1350

The square root of 1350 is 36.742346 (rounded to 6 decimal places). In simplest radical form it is 15√6.

Square root of 1350

Pick any whole number from 1 to 10,000.

\sqrt{1350} = 15\sqrt{6} \approx 36.742346

How to work it out

1
The square root of 1350 is the number that multiplied by itself gives 1350.
2
1350 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: 1350 = 225 × 6, so
$\sqrt{1350} = \sqrt{225 \times 6} = 15\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{1350} \approx 36.742346$

LaTeX source of the formulas on this page

\[ \sqrt{1350} = 15\sqrt{6} \approx 36.742346 \]
\[ \sqrt{1350} = \sqrt{225 \times 6} = 15\sqrt{6} \]
\[ \sqrt{1350} \approx 36.742346 \]

What is the square root of 1350?

The square root of 1350 is 36.742346 (rounded to 6 decimal places). In simplest radical form it is 15√6.

Is 1350 a perfect square?

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

What is 1350 squared?

1350 × 1350 = 1822500.

What is the square root of 1350 rounded to 2 decimals?

36.74.