Square root of 5488

The square root of 5488 is 74.081037 (rounded to 6 decimal places). In simplest radical form it is 28√7.

Square root of 5488

Pick any whole number from 1 to 10,000.

\sqrt{5488} = 28\sqrt{7} \approx 74.081037

How to work it out

1
The square root of 5488 is the number that multiplied by itself gives 5488.
2
5488 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: 5488 = 784 × 7, so
$\sqrt{5488} = \sqrt{784 \times 7} = 28\sqrt{7}$
4
A calculator, or long division of digits, gives
$\sqrt{5488} \approx 74.081037$

LaTeX source of the formulas on this page

\[ \sqrt{5488} = 28\sqrt{7} \approx 74.081037 \]
\[ \sqrt{5488} = \sqrt{784 \times 7} = 28\sqrt{7} \]
\[ \sqrt{5488} \approx 74.081037 \]

What is the square root of 5488?

The square root of 5488 is 74.081037 (rounded to 6 decimal places). In simplest radical form it is 28√7.

Is 5488 a perfect square?

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

What is 5488 squared?

5488 × 5488 = 30118144.

What is the square root of 5488 rounded to 2 decimals?

74.08.