Square root of 7408

The square root of 7408 is 86.069739 (rounded to 6 decimal places). In simplest radical form it is 4√463.

Square root of 7408

Pick any whole number from 1 to 10,000.

\sqrt{7408} = 4\sqrt{463} \approx 86.069739

How to work it out

1
The square root of 7408 is the number that multiplied by itself gives 7408.
2
7408 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: 7408 = 16 × 463, so
$\sqrt{7408} = \sqrt{16 \times 463} = 4\sqrt{463}$
4
A calculator, or long division of digits, gives
$\sqrt{7408} \approx 86.069739$

LaTeX source of the formulas on this page

\[ \sqrt{7408} = 4\sqrt{463} \approx 86.069739 \]
\[ \sqrt{7408} = \sqrt{16 \times 463} = 4\sqrt{463} \]
\[ \sqrt{7408} \approx 86.069739 \]

What is the square root of 7408?

The square root of 7408 is 86.069739 (rounded to 6 decimal places). In simplest radical form it is 4√463.

Is 7408 a perfect square?

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

What is 7408 squared?

7408 × 7408 = 54878464.

What is the square root of 7408 rounded to 2 decimals?

86.07.