Question

The points on the number line represent the values of six different numbers. which point best represents the value of √15 ?

a. Between 3 and 4
b. Between 4 and 5
c. Between 5 and 6
d. Between 6 and 7

Answer 1

The value of √15 falls between 3 and 4, as 15 is between 9 (3 squared) and 16 (4 squared). option A is correct answer.

Step-by-step explanation:

The question asks which point on a number line best represents the value of √15. To find this, we need to estimate the square root of 15. We know that:

• 3² = 9
• 4² = 16

Since 15 is between 9 and 16, √15 must be between 3 and 4. Thus, the correct answer is:

a. Between 3 and 4

To find the point on the number line that best represents the value of √15, it's essential to determine the approximate location of √15. The square root of 15 falls between the square roots of 9 (3) and 16 (4), as 15 is between 9 and 16.

Since √15 is greater than 3 but less than 4, its approximate value lies between these two integers. Therefore, on the number line, √15 would be located closer to the point representing 4. It is important to note that √15 is an irrational number, meaning its decimal representation goes on indefinitely without repeating, but it falls within the range of √9 and √16.

In summary, the point on the number line that best represents the value of √15 is closer to the point representing 4, considering its position between the square roots of 9 and 16.