Certainly! Let's solve the problem step by step.
We are given that [tex]\(\sqrt{3} = 1.732\)[/tex]. We need to evaluate the expression [tex]\(\frac{2}{\sqrt{3}}\)[/tex] and then round the result to 2 decimal places (d.p.).
1. First, substitute the given value of [tex]\(\sqrt{3}\)[/tex] into the expression:
[tex]\[
\frac{2}{\sqrt{3}} = \frac{2}{1.732}
\][/tex]
2. Next, perform the division:
[tex]\[
\frac{2}{1.732} \approx 1.1547344110854503
\][/tex]
This gives us the unrounded result of the division.
3. Finally, round this result to 2 decimal places:
[tex]\[
1.1547344110854503 \approx 1.15
\][/tex]
So, the evaluated and rounded result of [tex]\(\frac{2}{\sqrt{3}}\)[/tex] to 2 decimal places is:
[tex]\[
1.15
\][/tex]
