Question

What are the most estimates to the sqrt of 14

Answer 1

`3 < √(14) < 4`

`8 < √(67) < 9`

Explanation:

To estimate the square root of 14, we will look for numbers that have squared values nearest to the number 14.

We can think of 9 (square of 3) and 16 (square of 4) as the two nearest possible values to 14 so we can write it as:

`√(9) < √(14) < √(16)`

`3 < √(14) < 4`

Similarly, tp estimate the square root of 67, we can think of 64 (square of 8) and 81 (square of 9) to be the nearest values to 67.

`√(64) < √(67) < √(81)`

`8 < √(67) < 9`

Answer 2

9 < 14 < 16

sqrt (9) < sqrt (14) < sqrt (16)

3< sqrt(14) <4

for 67

64< 67 < 81

sqrt(64)<sqrt(67) <sqrt(81)

8<sqrt(67) <9

Choice C