Question

Which of the following expressions has a value between 5 and 6.

Square root
17
32
60
125

Answer 1

so listen to this logic
lets say you have 3 numbers, m,a,x where they are all positivie
m>a>x
therefor
m^2>a>2>x^2
if m and a and x are square roots, therefor we can reverse the square root
confusing sorry

square 5 and 6
5^2=25
6^2=36

the number betwe 25 and 36

that would be 32

answer is √32

goes like this
5^2<32<6^2
sqrt both sides
5<√32<6

answer is √32

Answer 2

`√(32)`

Explanation:

expressions has a value between 5 and 6.

First we take perfect square numbers

WE know
`√(25) = 5`

`√(36) = 6`

We need to find a value between 5 and 6

That means we need to find a value between
`√(25) \  and \ √(36)`

`√(17)` does not lie between
`√(25) \ and \ √(36)`

`√(32)` lie between
`√(25) \ and \ √(36)`

`√(60)` does not lie between
`√(25) \ and \ √(36)`

`√(1125)` does not lie between
`√(25) \ and \ √(36)`