Square root of 8450

The square root of 8450 is 91.923882 (rounded to 6 decimal places). In simplest radical form it is 65√2.

Square root of 8450

Pick any whole number from 1 to 10,000.

\sqrt{8450} = 65\sqrt{2} \approx 91.923882

How to work it out

1
The square root of 8450 is the number that multiplied by itself gives 8450.
2
8450 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: 8450 = 4225 × 2, so
$\sqrt{8450} = \sqrt{4225 \times 2} = 65\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{8450} \approx 91.923882$

LaTeX source of the formulas on this page

\[ \sqrt{8450} = 65\sqrt{2} \approx 91.923882 \]
\[ \sqrt{8450} = \sqrt{4225 \times 2} = 65\sqrt{2} \]
\[ \sqrt{8450} \approx 91.923882 \]

What is the square root of 8450?

The square root of 8450 is 91.923882 (rounded to 6 decimal places). In simplest radical form it is 65√2.

Is 8450 a perfect square?

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

What is 8450 squared?

8450 × 8450 = 71402500.

What is the square root of 8450 rounded to 2 decimals?

91.92.