Question

If the square root of n equals 6.7, then n is between,

A.6 and 7
B.30 and 35
C.36 and 49
D.45 and 55

Answer 1

Well to find out what n is, let's look at the whole numbers around the value of 6.7, so it would be 6 and 7.

From the list, square root of which larger number will provide you with 6 and 7.

It would be C. Since the square root of 36 is 6 and square root of 49 is 7. Knowing this the square root of n, some unknown number must then be between the numbers of 36 and 49, as the square roots of those numbers respectively are 6 and 7. Square root of n which is 6.7 is found between them.

Answer 2

Answer: C.36 and 49

Explanation:

We are given that , The square root of n equals 6.7.

Also, 6.7 is a decimal number that lies between 6 and 7.

i.e. 6 < 6.7 < 7

if we take square on each sides , we get

`6^2 < (6.7 )^2< 7^2\\\\\Rightarrow\  36<(6.7)^2<49`

Now replace
`(6.7)^2` by n [given], we get

`36<n<49`

Hence, n is between 36 and 49 .

Thus , the correct option is C.