Question

Please help with these 3 questions. My brain feels quite dead at the moment. Thank you!

Answer 1

1) sqrt(30) lies between 5 and 6 because:

5² < 30 < 6²

25 < 30 < 36

It's almost midway between 5 and 6, slightly closer to 5.

2) sqrt(53) lies between 7 and 8 because

7² < 53 < 8²

49 < 53 < 64

It's closer to 7 as compared to 8.

Answer 2

see below

Explanation:

sqrt(30)

30 is between 25 and 36

sqrt(25) < sqrt(30) < sqrt(36)

5 < sqrt(30) < 6

30 -25 is 5 steps

36-30 is 6 steps

It is about 1/2 way between 5 and 6 but a tiny bit closer to 5

sqrt (53)

53 is between 49 and 64

sqrt(49) < sqrt(53) < sqrt(64)

7<sqrt(53) 8

53-49 is 4

64-53 =11

sqrt(53) is about 1/3 of the way between 7 and 8