Square root of 1476

The square root of 1476 is 38.418745 (rounded to 6 decimal places). In simplest radical form it is 6√41.

Square root of 1476

Pick any whole number from 1 to 10,000.

\sqrt{1476} = 6\sqrt{41} \approx 38.418745

How to work it out

1
The square root of 1476 is the number that multiplied by itself gives 1476.
2
1476 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: 1476 = 36 × 41, so
$\sqrt{1476} = \sqrt{36 \times 41} = 6\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{1476} \approx 38.418745$

LaTeX source of the formulas on this page

\[ \sqrt{1476} = 6\sqrt{41} \approx 38.418745 \]
\[ \sqrt{1476} = \sqrt{36 \times 41} = 6\sqrt{41} \]
\[ \sqrt{1476} \approx 38.418745 \]

What is the square root of 1476?

The square root of 1476 is 38.418745 (rounded to 6 decimal places). In simplest radical form it is 6√41.

Is 1476 a perfect square?

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

What is 1476 squared?

1476 × 1476 = 2178576.

What is the square root of 1476 rounded to 2 decimals?

38.42.