Square root of 5456

The square root of 5456 is 73.864741 (rounded to 6 decimal places). In simplest radical form it is 4√341.

Square root of 5456

Pick any whole number from 1 to 10,000.

\sqrt{5456} = 4\sqrt{341} \approx 73.864741

How to work it out

1
The square root of 5456 is the number that multiplied by itself gives 5456.
2
5456 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: 5456 = 16 × 341, so
$\sqrt{5456} = \sqrt{16 \times 341} = 4\sqrt{341}$
4
A calculator, or long division of digits, gives
$\sqrt{5456} \approx 73.864741$

LaTeX source of the formulas on this page

\[ \sqrt{5456} = 4\sqrt{341} \approx 73.864741 \]
\[ \sqrt{5456} = \sqrt{16 \times 341} = 4\sqrt{341} \]
\[ \sqrt{5456} \approx 73.864741 \]

What is the square root of 5456?

The square root of 5456 is 73.864741 (rounded to 6 decimal places). In simplest radical form it is 4√341.

Is 5456 a perfect square?

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

What is 5456 squared?

5456 × 5456 = 29767936.

What is the square root of 5456 rounded to 2 decimals?

73.86.