Square root of 8416

The square root of 8416 is 91.73876 (rounded to 6 decimal places). In simplest radical form it is 4√526.

Square root of 8416

Pick any whole number from 1 to 10,000.

\sqrt{8416} = 4\sqrt{526} \approx 91.73876

How to work it out

1
The square root of 8416 is the number that multiplied by itself gives 8416.
2
8416 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8416 = 16 × 526, so
$\sqrt{8416} = \sqrt{16 \times 526} = 4\sqrt{526}$
4
A calculator, or long division of digits, gives
$\sqrt{8416} \approx 91.73876$

LaTeX source of the formulas on this page

\[ \sqrt{8416} = 4\sqrt{526} \approx 91.73876 \]
\[ \sqrt{8416} = \sqrt{16 \times 526} = 4\sqrt{526} \]
\[ \sqrt{8416} \approx 91.73876 \]

What is the square root of 8416?

The square root of 8416 is 91.73876 (rounded to 6 decimal places). In simplest radical form it is 4√526.

Is 8416 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8416 squared?

8416 × 8416 = 70829056.

What is the square root of 8416 rounded to 2 decimals?

91.74.