Square root of 5748

The square root of 5748 is 75.815566 (rounded to 6 decimal places). In simplest radical form it is 2√1437.

Square root of 5748

Pick any whole number from 1 to 10,000.

\sqrt{5748} = 2\sqrt{1437} \approx 75.815566

How to work it out

1
The square root of 5748 is the number that multiplied by itself gives 5748.
2
5748 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: 5748 = 4 × 1437, so
$\sqrt{5748} = \sqrt{4 \times 1437} = 2\sqrt{1437}$
4
A calculator, or long division of digits, gives
$\sqrt{5748} \approx 75.815566$

LaTeX source of the formulas on this page

\[ \sqrt{5748} = 2\sqrt{1437} \approx 75.815566 \]
\[ \sqrt{5748} = \sqrt{4 \times 1437} = 2\sqrt{1437} \]
\[ \sqrt{5748} \approx 75.815566 \]

What is the square root of 5748?

The square root of 5748 is 75.815566 (rounded to 6 decimal places). In simplest radical form it is 2√1437.

Is 5748 a perfect square?

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

What is 5748 squared?

5748 × 5748 = 33039504.

What is the square root of 5748 rounded to 2 decimals?

75.82.