Square root of 1488

The square root of 1488 is 38.574603 (rounded to 6 decimal places). In simplest radical form it is 4√93.

Square root of 1488

Pick any whole number from 1 to 10,000.

\sqrt{1488} = 4\sqrt{93} \approx 38.574603

How to work it out

1
The square root of 1488 is the number that multiplied by itself gives 1488.
2
1488 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1488 = 16 × 93, so
$\sqrt{1488} = \sqrt{16 \times 93} = 4\sqrt{93}$
4
A calculator, or long division of digits, gives
$\sqrt{1488} \approx 38.574603$

LaTeX source of the formulas on this page

\[ \sqrt{1488} = 4\sqrt{93} \approx 38.574603 \]
\[ \sqrt{1488} = \sqrt{16 \times 93} = 4\sqrt{93} \]
\[ \sqrt{1488} \approx 38.574603 \]

What is the square root of 1488?

The square root of 1488 is 38.574603 (rounded to 6 decimal places). In simplest radical form it is 4√93.

Is 1488 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1488 squared?

1488 × 1488 = 2214144.

What is the square root of 1488 rounded to 2 decimals?

38.57.