Problem

1) $3 \sqrt{6}-4 \sqrt{6}$

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{- \sqrt{6}}\) is the final answer.

Steps

Step 1 :The problem is asking to subtract two terms that have the same square root. This is similar to subtracting like terms in algebra. In this case, the like terms are \(3 \sqrt{6}\) and \(4 \sqrt{6}\).

Step 2 :Let's denote the first term as term1 = \(3 \sqrt{6}\) and the second term as term2 = \(4 \sqrt{6}\).

Step 3 :Subtract term2 from term1 to get the result. The result of the subtraction is \(- \sqrt{6}\). This makes sense because we are subtracting a larger term \(4 \sqrt{6}\) from a smaller term \(3 \sqrt{6}\), which results in a negative value.

Step 4 :\(\boxed{- \sqrt{6}}\) is the final answer.

link_gpt