Square root of 5672

The square root of 5672 is 75.312682 (rounded to 6 decimal places). In simplest radical form it is 2√1418.

Square root of 5672

Pick any whole number from 1 to 10,000.

\sqrt{5672} = 2\sqrt{1418} \approx 75.312682

How to work it out

1
The square root of 5672 is the number that multiplied by itself gives 5672.
2
5672 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5672 = 4 × 1418, so
$\sqrt{5672} = \sqrt{4 \times 1418} = 2\sqrt{1418}$
4
A calculator, or long division of digits, gives
$\sqrt{5672} \approx 75.312682$

LaTeX source of the formulas on this page

\[ \sqrt{5672} = 2\sqrt{1418} \approx 75.312682 \]
\[ \sqrt{5672} = \sqrt{4 \times 1418} = 2\sqrt{1418} \]
\[ \sqrt{5672} \approx 75.312682 \]

What is the square root of 5672?

The square root of 5672 is 75.312682 (rounded to 6 decimal places). In simplest radical form it is 2√1418.

Is 5672 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5672 squared?

5672 × 5672 = 32171584.

What is the square root of 5672 rounded to 2 decimals?

75.31.