Square root of 1536

The square root of 1536 is 39.191836 (rounded to 6 decimal places). In simplest radical form it is 16√6.

Square root of 1536

Pick any whole number from 1 to 10,000.

\sqrt{1536} = 16\sqrt{6} \approx 39.191836

How to work it out

1
The square root of 1536 is the number that multiplied by itself gives 1536.
2
1536 is between the perfect squares 39² = 1521 and 40² = 1600, so its square root is between 39 and 40.
3
Pull out the biggest square factor: 1536 = 256 × 6, so
$\sqrt{1536} = \sqrt{256 \times 6} = 16\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{1536} \approx 39.191836$

LaTeX source of the formulas on this page

\[ \sqrt{1536} = 16\sqrt{6} \approx 39.191836 \]
\[ \sqrt{1536} = \sqrt{256 \times 6} = 16\sqrt{6} \]
\[ \sqrt{1536} \approx 39.191836 \]

What is the square root of 1536?

The square root of 1536 is 39.191836 (rounded to 6 decimal places). In simplest radical form it is 16√6.

Is 1536 a perfect square?

No. It lies between 39² = 1521 and 40² = 1600.

What is 1536 squared?

1536 × 1536 = 2359296.

What is the square root of 1536 rounded to 2 decimals?

39.19.