Question

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

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

Answer:

$\sqrt{32}$

Step-by-step explanation:

expressions has a value between 5 and 6.

First we take perfect square numbers

WE know $\sqrt{25} = 5$

$\sqrt{36} = 6$

We need to find a value between 5  and 6

That means we need to find a value between $\sqrt{25} \ and \ \sqrt{36}$

$\sqrt{17}$ does not lie between $\sqrt{25} \ and \ \sqrt{36}$

$\sqrt{32}$  lie between $\sqrt{25} \ and \ \sqrt{36}$

$\sqrt{60}$ does not lie between $\sqrt{25} \ and \ \sqrt{36}$

$\sqrt{1125}$ does not lie between $\sqrt{25} \ and \ \sqrt{36}$