Square root of 5492

The square root of 5492 is 74.108029 (rounded to 6 decimal places). In simplest radical form it is 2√1373.

Square root of 5492

Pick any whole number from 1 to 10,000.

\sqrt{5492} = 2\sqrt{1373} \approx 74.108029

How to work it out

1
The square root of 5492 is the number that multiplied by itself gives 5492.
2
5492 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: 5492 = 4 × 1373, so
$\sqrt{5492} = \sqrt{4 \times 1373} = 2\sqrt{1373}$
4
A calculator, or long division of digits, gives
$\sqrt{5492} \approx 74.108029$

LaTeX source of the formulas on this page

\[ \sqrt{5492} = 2\sqrt{1373} \approx 74.108029 \]
\[ \sqrt{5492} = \sqrt{4 \times 1373} = 2\sqrt{1373} \]
\[ \sqrt{5492} \approx 74.108029 \]

What is the square root of 5492?

The square root of 5492 is 74.108029 (rounded to 6 decimal places). In simplest radical form it is 2√1373.

Is 5492 a perfect square?

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

What is 5492 squared?

5492 × 5492 = 30162064.

What is the square root of 5492 rounded to 2 decimals?

74.11.