The square root of 9 + 4√5 is ______?
- 5+√2
- √5 + √2
- √5 + 2
- None of these
Explanation
Let's try to simplify:
9 + 4√5 = (√5)² + 2² + 2(2)(√5)
= (√5 + 2)²
So, √(9 + 4√5) = √((√5 + 2)²)
= √5 + 2
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