Square root of 7472

The square root of 7472 is 86.440731 (rounded to 6 decimal places). In simplest radical form it is 4√467.

Square root of 7472

Pick any whole number from 1 to 10,000.

\sqrt{7472} = 4\sqrt{467} \approx 86.440731

How to work it out

1
The square root of 7472 is the number that multiplied by itself gives 7472.
2
7472 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7472 = 16 × 467, so
$\sqrt{7472} = \sqrt{16 \times 467} = 4\sqrt{467}$
4
A calculator, or long division of digits, gives
$\sqrt{7472} \approx 86.440731$

LaTeX source of the formulas on this page

\[ \sqrt{7472} = 4\sqrt{467} \approx 86.440731 \]
\[ \sqrt{7472} = \sqrt{16 \times 467} = 4\sqrt{467} \]
\[ \sqrt{7472} \approx 86.440731 \]

What is the square root of 7472?

The square root of 7472 is 86.440731 (rounded to 6 decimal places). In simplest radical form it is 4√467.

Is 7472 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7472 squared?

7472 × 7472 = 55830784.

What is the square root of 7472 rounded to 2 decimals?

86.44.