Question

The value of √5 +2√6 is
A. √3 - √2
B.√3 + √2
C.√5 + √6
D. none of these

Answer 1

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.

HOPE THIS ANSWER WILL HELP YOU…..

 

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Answer 2

Answer:

The value of √5 +2√6 is

A. √3 - √2

B.√3 + √2

C.√5 + √6

D. none of these✔️