Square root of 54

The square root of 54 is 7.348469 (rounded to 6 decimal places). In simplest radical form it is 3√6.

Square root of 54

Pick any whole number from 1 to 10,000.

\sqrt{54} = 3\sqrt{6} \approx 7.348469

How to work it out

1
The square root of 54 is the number that multiplied by itself gives 54.
2
54 is between the perfect squares 7² = 49 and 8² = 64, so its square root is between 7 and 8.
3
Pull out the biggest square factor: 54 = 9 × 6, so
$\sqrt{54} = \sqrt{9 \times 6} = 3\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{54} \approx 7.348469$

LaTeX source of the formulas on this page

\[ \sqrt{54} = 3\sqrt{6} \approx 7.348469 \]
\[ \sqrt{54} = \sqrt{9 \times 6} = 3\sqrt{6} \]
\[ \sqrt{54} \approx 7.348469 \]

What is the square root of 54?

The square root of 54 is 7.348469 (rounded to 6 decimal places). In simplest radical form it is 3√6.

Is 54 a perfect square?

No. It lies between 7² = 49 and 8² = 64.

What is 54 squared?

54 × 54 = 2916.

What is the square root of 54 rounded to 2 decimals?

7.35.