Square root of 1075

The square root of 1075 is 32.787193 (rounded to 6 decimal places). In simplest radical form it is 5√43.

Square root of 1075

Pick any whole number from 1 to 10,000.

\sqrt{1075} = 5\sqrt{43} \approx 32.787193

How to work it out

1
The square root of 1075 is the number that multiplied by itself gives 1075.
2
1075 is between the perfect squares 32² = 1024 and 33² = 1089, so its square root is between 32 and 33.
3
Pull out the biggest square factor: 1075 = 25 × 43, so
$\sqrt{1075} = \sqrt{25 \times 43} = 5\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{1075} \approx 32.787193$

LaTeX source of the formulas on this page

\[ \sqrt{1075} = 5\sqrt{43} \approx 32.787193 \]
\[ \sqrt{1075} = \sqrt{25 \times 43} = 5\sqrt{43} \]
\[ \sqrt{1075} \approx 32.787193 \]

What is the square root of 1075?

The square root of 1075 is 32.787193 (rounded to 6 decimal places). In simplest radical form it is 5√43.

Is 1075 a perfect square?

No. It lies between 32² = 1024 and 33² = 1089.

What is 1075 squared?

1075 × 1075 = 1155625.

What is the square root of 1075 rounded to 2 decimals?

32.79.