Square root of 1485

The square root of 1485 is 38.535698 (rounded to 6 decimal places). In simplest radical form it is 3√165.

Square root of 1485

Pick any whole number from 1 to 10,000.

\sqrt{1485} = 3\sqrt{165} \approx 38.535698

How to work it out

1
The square root of 1485 is the number that multiplied by itself gives 1485.
2
1485 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: 1485 = 9 × 165, so
$\sqrt{1485} = \sqrt{9 \times 165} = 3\sqrt{165}$
4
A calculator, or long division of digits, gives
$\sqrt{1485} \approx 38.535698$

LaTeX source of the formulas on this page

\[ \sqrt{1485} = 3\sqrt{165} \approx 38.535698 \]
\[ \sqrt{1485} = \sqrt{9 \times 165} = 3\sqrt{165} \]
\[ \sqrt{1485} \approx 38.535698 \]

What is the square root of 1485?

The square root of 1485 is 38.535698 (rounded to 6 decimal places). In simplest radical form it is 3√165.

Is 1485 a perfect square?

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

What is 1485 squared?

1485 × 1485 = 2205225.

What is the square root of 1485 rounded to 2 decimals?

38.54.