Square root of 1050

The square root of 1050 is 32.403703 (rounded to 6 decimal places). In simplest radical form it is 5√42.

Square root of 1050

Pick any whole number from 1 to 10,000.

\sqrt{1050} = 5\sqrt{42} \approx 32.403703

How to work it out

1
The square root of 1050 is the number that multiplied by itself gives 1050.
2
1050 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: 1050 = 25 × 42, so
$\sqrt{1050} = \sqrt{25 \times 42} = 5\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{1050} \approx 32.403703$

LaTeX source of the formulas on this page

\[ \sqrt{1050} = 5\sqrt{42} \approx 32.403703 \]
\[ \sqrt{1050} = \sqrt{25 \times 42} = 5\sqrt{42} \]
\[ \sqrt{1050} \approx 32.403703 \]

What is the square root of 1050?

The square root of 1050 is 32.403703 (rounded to 6 decimal places). In simplest radical form it is 5√42.

Is 1050 a perfect square?

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

What is 1050 squared?

1050 × 1050 = 1102500.

What is the square root of 1050 rounded to 2 decimals?

32.40.