Question

Which of the following is a rational number between `sqrt3` and `sqrt5`?

Options

• 1.4142387954012...

• `2.32bar6`

• π

• 1.857142

Answer 1

1.857142

Explanation:

`sqrt3` = 1.732

`sqrt5` = 2.236

Here,

1. 1.4142387954012... = This is approximately `sqrt2` = 1.414, which is less than `sqrt3`.

2. `2.32bar6` (Repeating Decimal: 2.326666...) is greater than `sqrt5.`
3. π = 3.1416, is greater than `sqrt5.`
4. 1.732 < 1.857142 < 2.236, so it fits within the required range. so it's correct.