Square root of 1472

The square root of 1472 is 38.366652 (rounded to 6 decimal places). In simplest radical form it is 8√23.

Square root of 1472

Pick any whole number from 1 to 10,000.

\sqrt{1472} = 8\sqrt{23} \approx 38.366652

How to work it out

1
The square root of 1472 is the number that multiplied by itself gives 1472.
2
1472 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: 1472 = 64 × 23, so
$\sqrt{1472} = \sqrt{64 \times 23} = 8\sqrt{23}$
4
A calculator, or long division of digits, gives
$\sqrt{1472} \approx 38.366652$

LaTeX source of the formulas on this page

\[ \sqrt{1472} = 8\sqrt{23} \approx 38.366652 \]
\[ \sqrt{1472} = \sqrt{64 \times 23} = 8\sqrt{23} \]
\[ \sqrt{1472} \approx 38.366652 \]

What is the square root of 1472?

The square root of 1472 is 38.366652 (rounded to 6 decimal places). In simplest radical form it is 8√23.

Is 1472 a perfect square?

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

What is 1472 squared?

1472 × 1472 = 2166784.

What is the square root of 1472 rounded to 2 decimals?

38.37.