Square root of 7450

The square root of 7450 is 86.313383 (rounded to 6 decimal places). In simplest radical form it is 5√298.

Square root of 7450

Pick any whole number from 1 to 10,000.

\sqrt{7450} = 5\sqrt{298} \approx 86.313383

How to work it out

1
The square root of 7450 is the number that multiplied by itself gives 7450.
2
7450 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: 7450 = 25 × 298, so
$\sqrt{7450} = \sqrt{25 \times 298} = 5\sqrt{298}$
4
A calculator, or long division of digits, gives
$\sqrt{7450} \approx 86.313383$

LaTeX source of the formulas on this page

\[ \sqrt{7450} = 5\sqrt{298} \approx 86.313383 \]
\[ \sqrt{7450} = \sqrt{25 \times 298} = 5\sqrt{298} \]
\[ \sqrt{7450} \approx 86.313383 \]

What is the square root of 7450?

The square root of 7450 is 86.313383 (rounded to 6 decimal places). In simplest radical form it is 5√298.

Is 7450 a perfect square?

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

What is 7450 squared?

7450 × 7450 = 55502500.

What is the square root of 7450 rounded to 2 decimals?

86.31.