Incorrect Alternative Expressions for B√3
To solve this question, we need to find an alternative expression for \( B\sqrt{3} \).
Option A is \( \sqrt{B} \times \sqrt{3} \), which simplifies to \( \sqrt{B \times 3} \) or \( \sqrt{3B} \), not \( B\sqrt{3} \).
Option B is \( \sqrt{B} \times \sqrt{3} \), which is identical to Option A and thus also incorrect.
Option C is \( \frac{\sqrt{3}}{\sqrt{B}} \), this isn't equivalent to \( B\sqrt{3} \) either. If anything, it represents \( \sqrt{3}/\sqrt{B} \) which is \( \sqrt{3/B} \), not the expression we are looking for.
Option D is \( \frac{\sqrt{B}}{\sqrt{3}} \), and this simplifies to \( \sqrt{B/3} \), which is also not equivalent to \( B\sqrt{3} \).
However, from the options provided, none match \( B\sqrt{3} \). Each option represents a different expression upon simplification. Thus, it seems there might be an error as none of the given options is another name for \( B\sqrt{3} \).
