answer this question step by step
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Answer:
In this type of question, usually (a+b)² or (A-B)² identity is used. Hint for that is the even multiple of root value.
Explanation:
√(7+2√10)
= √[ (5+2) + 2 × √5 × √2]
= √ [(√5)² + (√2)² + 2 × √5 × √2]
= √ [(√5+√2)]²
(since, (a+b)² = a² + b² + 2ab)
= √5+√2
(since √(a²) = a)
Thus, Answer is √5+√2
Option C.
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