Question

Which point best represents \sqrt{10}

Answer 1

Point Q

Explanation:

Find the perfect squares that are either side of 10.

Perfect squares: 1, 4, 9, 16, 25, ....

Therefore, 10 is between 9 and 16.

`\implies √(9) < √(10) < √(16)`

`\implies 3 < √(10) < 4`

So √10 is between 3 and 4.

As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.

Therefore, point Q best represents √10