To simplify the expression, let's break it down step by step:
Step 1: Simplify √(8 + √6)
Since there is no simple way to simplify this expression further, we keep it as is.
Step 2: Multiply √6 by √(8 + √6)
√6 * √(8 + √6) = √(6(8 + √6))
Step 3: Distribute the square root operation to the terms inside the parentheses
√(6(8 + √6)) = √(48 + 6√6)
Step 4: Simplify further if possible
The expression √(48 + 6√6) cannot be simplified further because there are no perfect square factors or simplified radicals within it.
So, the simplified form of the expression is √(48 + 6√6).