Square root of 5341

The square root of 5341 is 73.082146 (rounded to 6 decimal places). In simplest radical form it is 7√109.

Square root of 5341

Pick any whole number from 1 to 10,000.

\sqrt{5341} = 7\sqrt{109} \approx 73.082146

How to work it out

1
The square root of 5341 is the number that multiplied by itself gives 5341.
2
5341 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.
3
Pull out the biggest square factor: 5341 = 49 × 109, so
$\sqrt{5341} = \sqrt{49 \times 109} = 7\sqrt{109}$
4
A calculator, or long division of digits, gives
$\sqrt{5341} \approx 73.082146$

LaTeX source of the formulas on this page

\[ \sqrt{5341} = 7\sqrt{109} \approx 73.082146 \]
\[ \sqrt{5341} = \sqrt{49 \times 109} = 7\sqrt{109} \]
\[ \sqrt{5341} \approx 73.082146 \]

What is the square root of 5341?

The square root of 5341 is 73.082146 (rounded to 6 decimal places). In simplest radical form it is 7√109.

Is 5341 a perfect square?

No. It lies between 73² = 5329 and 74² = 5476.

What is 5341 squared?

5341 × 5341 = 28526281.

What is the square root of 5341 rounded to 2 decimals?

73.08.