Square root of 5484

The square root of 5484 is 74.054034 (rounded to 6 decimal places). In simplest radical form it is 2√1371.

Square root of 5484

Pick any whole number from 1 to 10,000.

\sqrt{5484} = 2\sqrt{1371} \approx 74.054034

How to work it out

1
The square root of 5484 is the number that multiplied by itself gives 5484.
2
5484 is between the perfect squares 74² = 5476 and 75² = 5625, so its square root is between 74 and 75.
3
Pull out the biggest square factor: 5484 = 4 × 1371, so
$\sqrt{5484} = \sqrt{4 \times 1371} = 2\sqrt{1371}$
4
A calculator, or long division of digits, gives
$\sqrt{5484} \approx 74.054034$

LaTeX source of the formulas on this page

\[ \sqrt{5484} = 2\sqrt{1371} \approx 74.054034 \]
\[ \sqrt{5484} = \sqrt{4 \times 1371} = 2\sqrt{1371} \]
\[ \sqrt{5484} \approx 74.054034 \]

What is the square root of 5484?

The square root of 5484 is 74.054034 (rounded to 6 decimal places). In simplest radical form it is 2√1371.

Is 5484 a perfect square?

No. It lies between 74² = 5476 and 75² = 5625.

What is 5484 squared?

5484 × 5484 = 30074256.

What is the square root of 5484 rounded to 2 decimals?

74.05.