Questions: 11√10+10√11=

Transcript text: \[ 11 \sqrt{10}+10 \sqrt{11}= \]

Solution

Solution Steps

To simplify the expression \(11 \sqrt{10} + 10 \sqrt{11}\), we need to determine if the terms can be combined. In this case, the terms involve different square roots (\(\sqrt{10}\) and \(\sqrt{11}\)), which means they are not like terms and cannot be combined further. Therefore, the expression is already in its simplest form.

Step 1: Identify the Terms

We start with the expression \(11 \sqrt{10} + 10 \sqrt{11}\). Here, we have two distinct terms: \(11 \sqrt{10}\) and \(10 \sqrt{11}\).

Step 2: Check for Like Terms

To simplify the expression, we check if the terms can be combined. Since \( \sqrt{10} \) and \( \sqrt{11} \) are different square roots, the terms are not like terms and cannot be combined.

Step 3: Write the Expression in Simplest Form

As the terms cannot be combined, the expression remains as it is: \[ 11 \sqrt{10} + 10 \sqrt{11} \]