The value of √5 +2√6 is
A. √3 - √2
B.√3 + √2
C.√5 + √6
D. none of these
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Given : √5 + 2√6
To find : The value of √5 + 2√6
We have , √(5 + 2√6)
= √(3 + 2 + 2√6)
= √(√3)² + √2² + 2 × √3 × √2)
= √(√3 + √2)²
[By using an identity, a² + b² + 2ab = (a + b)² ]
= √(√3 + √2)²
= √3 + √2
√(5 + 2√6) = √3 + √2
Hence , the value of √(5 + 2√6) is √3 + √2.
Among the given options option (B) √3 + √2 is correct.
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Answer:
The value of √5 +2√6 is
A. √3 - √2
B.√3 + √2
C.√5 + √6
D. none of these✔️
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