Question

Which range contains the value of √4(4+3)

a: between 2.6 and 2.7
b: between 4.3 and 4.5
c: between 5.2 and 5.4
d: between 7.4 and 7.6

Answer 1

Explanation:

Here first look at the quantity which is
`4(4+3)=16+12=28`. So the nearby largest possible of square root which gives us integer is 25. So
`5=√(25) < √(28)` is satisfied.

So now looking at the options we can say that
`5.2^(2)=27.04` and
`5.4^(2)=29.16`. We can see that
`27.04 < 28 < 29.04`.

Final Answer: So the answer is b)between 5.2 and 5.4.

Answer 2

The answer is C).

`√(4(4+3))` is between 5.2 and 5.4.