Square root of 5440

The square root of 5440 is 73.756356 (rounded to 6 decimal places). In simplest radical form it is 8√85.

Square root of 5440

Pick any whole number from 1 to 10,000.

\sqrt{5440} = 8\sqrt{85} \approx 73.756356

How to work it out

1
The square root of 5440 is the number that multiplied by itself gives 5440.
2
5440 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: 5440 = 64 × 85, so
$\sqrt{5440} = \sqrt{64 \times 85} = 8\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{5440} \approx 73.756356$

LaTeX source of the formulas on this page

\[ \sqrt{5440} = 8\sqrt{85} \approx 73.756356 \]
\[ \sqrt{5440} = \sqrt{64 \times 85} = 8\sqrt{85} \]
\[ \sqrt{5440} \approx 73.756356 \]

What is the square root of 5440?

The square root of 5440 is 73.756356 (rounded to 6 decimal places). In simplest radical form it is 8√85.

Is 5440 a perfect square?

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

What is 5440 squared?

5440 × 5440 = 29593600.

What is the square root of 5440 rounded to 2 decimals?

73.76.