Question

An integer is represented by x. a rational number is represented by the square root of x

the value of the square root of x is between 84/18 and the square root of 41

Answer 1

x = 25 and √x = 5 is one of the solutions.

Explanation:

Given that the value of the square root of x is between 84/18 and the square root of 41.

So,
`√(41) \geq  √(x) \geq (84)/(18)`

⇒
`6.401 \geq  √(x)  \geq  4.67` ........... (1)

Now, let us assume that, √x = 5 {Satisfying the condition (1)}

⇒ x = 25 (Answer)

We also can assume that, √x = 6 {Satisfying the condition (1)}

⇒ x = 36 (Answer)