Question

What square root best approximates the point on the graph?

A number line going from 0 to 9. A point is slightly to the right of 5.
StartRoot 5 EndRoot
StartRoot 15 EndRoot
StartRoot 28 EndRoot
StartRoot 53 EndRoot

Answer 1

The correct option is C. The best approximate for the given graph is
`√(28)`.

Explanation:

From the given graph it is noticed that the point lies between 5 and 6.

Let the square root of x is the best approximate for the given graph.

`5 < √(x) < 6`

Taking square on each side.

`5^2 < (√(x))^2 < 6^2`

`25 < x < 36`

It means the value of x lies between 25 to 36 and the graph represents the approximate value between
`√(25)` to
`√(36)`.

Therefore best approximate for the given graph is
`√(28)`. Option C is correct.