1.) Which of the following numbers could be added to 3/16 to make a sum greater than 1/2?

Question

5/16

10/32

2/6

1/4

Which of the following pairs of numbers provides the best estimate of (square root of 45)?

(square root of 25) and (square root of 36

(square root of 36 and (square root of 49

(square root of 49 and (square root of 64

(square root of 25 and (square root of 49

I am very confused about these questions please explain how I can do this. :(

Answer 1

If you add x, then you need
3/16 + x > 1/2
3/16 + x > 8/16
x > 5/16
Note that the question should have specified "at least" 1/2, rather than "greater than"

45 is between 36 and 49, so √45 is between √36 and √49

Answer 2

Thanks so much this helped a lot :) !