Use the drop-down menus to complete each statement to show why √65 is between 12 and 18.

12 < 6√5 < 18

Step-by-step explanation:

It has been given in the question 4 < 5 < 9 and we have to show 6√5 is between 12 and 18.

For box number 1.

4 < 5 < 9 ⇒ √4 < √5 < √9

For the box number 2.

√4 < √5 < √9    ⇒   2 < √5 < 3

For the box number 3.

we multiply the inequality by 6.

6×(2 < √5 < 3) ⇒ 6×2 < 6×√5 < 6×3

Therefore final answer is 6×2 < 6×√5 < 6×3 ⇒ 12 < 6√5 < 18

step-by-step explanation: