Question

Determine between which two consecutive integers the square root of 35 lie

A. 2 and 3
B. 3 and 4
C. 4 and 5
D. 5 and 6​

Answer 1

The square root of 35 lies between the integers 5 and 6, as it is greater than 5² (25) and less than 6² (36).

Step-by-step explanation:

To determine between which two consecutive integers the square root of 35 lies, we can compare 35 to perfect squares nearby. The perfect square prior to 35 is 5², which equals 25, and the next perfect square is 6², which equals 36. Since 35 lies between 25 and 36, the square root of 35 must lie between their roots, which are 5 and 6 respectively. Therefore, the square root of 35 lies between 5 and 6.