Square root of 1475

The square root of 1475 is 38.405729 (rounded to 6 decimal places). In simplest radical form it is 5√59.

Square root of 1475

Pick any whole number from 1 to 10,000.

\sqrt{1475} = 5\sqrt{59} \approx 38.405729

How to work it out

1
The square root of 1475 is the number that multiplied by itself gives 1475.
2
1475 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: 1475 = 25 × 59, so
$\sqrt{1475} = \sqrt{25 \times 59} = 5\sqrt{59}$
4
A calculator, or long division of digits, gives
$\sqrt{1475} \approx 38.405729$

LaTeX source of the formulas on this page

\[ \sqrt{1475} = 5\sqrt{59} \approx 38.405729 \]
\[ \sqrt{1475} = \sqrt{25 \times 59} = 5\sqrt{59} \]
\[ \sqrt{1475} \approx 38.405729 \]

What is the square root of 1475?

The square root of 1475 is 38.405729 (rounded to 6 decimal places). In simplest radical form it is 5√59.

Is 1475 a perfect square?

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

What is 1475 squared?

1475 × 1475 = 2175625.

What is the square root of 1475 rounded to 2 decimals?

38.41.