To simplify the given expression, we rationalize the denominators of both square roots to obtain 2√6 + √(8 - 2√15). Therefore, the final expression is 2√6 + √(8 - 2√15).
To simplify the expression, we need to rationalize the denominators of both square roots.
Let's start with the first square root. We have √(5 + 2√6). We can rewrite this as √[√(2√6)]² since (√a)² = a.
This simplifies to √(2√6)² = 2√6 using the property √(a²) = a.
Now, let's move on to the second square root. We have √(8 - 2√15). This cannot be simplified further.
Therefore, the final expression is 2√6 + √(8 - 2√15).
The probable question may be:
Solve for this expression:
√5+2√6 + √8-2√15