Question

What is a square root that lies between 17 and 18

Answer 1

Well...
17 < sqrtx < 18 (Square it)
289 < x < 324
I love my even numbers, the middle would be around 300. So lets say x is 300.
sqrt300 = 10sqrt3.
Therefore a number that lies between is....

`10 √(3)`

Answer 2

The number can be
`10\sqrt {3}`

Explanation:

Consider the provided numbers.

We need to find a square root that lies between 17 and 18.

if x is the number

Let
`\sqrt x` is lies between 17 and 18

This can be written as:

`17<\sqrt x<18`

`289<x<324`

Take any number between 289 and 324.

Let say the number is 300

Substitute x=300 in above inequality.

`289<300<324`

`17^2<300<18^2`

Thus,

`17<\sqrt {300}<18`

`17<10\sqrt {3}<18`

Hence, the number can be
`10\sqrt {3}`