Which point best represents 10−−√ on a number line?

Question

1. A.point A
2. B.point D
3. C.point B
4. D.point C

Answer 1

√10 is between

√9 = 3

and

√16 = 4

So, √10 is between 3 and 4. Point B.

Answer 2

√ is a symbol for a principle square root and, by definition, it is a positive number.

− − √ is a positive number.

10 – – √ is equivalent to 10 + √

Therefore, this expression must be greater than or equal to 10.

Points A, B and C represent numbers lesser than 10 and they cannot represent the expression in question.

Point D is 10 on the number line and it is the best available representation for the expression.

Answer: 2