Question

need help with a question

Answer 1

In order to answer our question, we need to know the value of √3.

Now, what we can say about √3 without using a calculator is that

$\sqrt[]{4}<\sqrt[]{3}<1$

In other words, √3 must lie between √4 and 1.

The above inequality can be rewritten as

$2<\sqrt[]{3}<1$

Now, we have two points between 2 and 1, namely B and C; our question, therefore is which one of these points is √3?

Now 3 is more close to 4 than 1; therefore, we expect √3 to be the point which is closer to 2; hence, our best guess at the value of √3 is the point C.