Square root of 5618

The square root of 5618 is 74.953319 (rounded to 6 decimal places). In simplest radical form it is 53√2.

Square root of 5618

Pick any whole number from 1 to 10,000.

\sqrt{5618} = 53\sqrt{2} \approx 74.953319

How to work it out

1
The square root of 5618 is the number that multiplied by itself gives 5618.
2
5618 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: 5618 = 2809 × 2, so
$\sqrt{5618} = \sqrt{2809 \times 2} = 53\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{5618} \approx 74.953319$

LaTeX source of the formulas on this page

\[ \sqrt{5618} = 53\sqrt{2} \approx 74.953319 \]
\[ \sqrt{5618} = \sqrt{2809 \times 2} = 53\sqrt{2} \]
\[ \sqrt{5618} \approx 74.953319 \]

What is the square root of 5618?

The square root of 5618 is 74.953319 (rounded to 6 decimal places). In simplest radical form it is 53√2.

Is 5618 a perfect square?

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

What is 5618 squared?

5618 × 5618 = 31561924.

What is the square root of 5618 rounded to 2 decimals?

74.95.