Question

Rationalize 1/(√11+3)​

Answer 1

1÷(√11+3)

Explanation:

1) Find the rationalizing factor of the denominator= √11-3

√11-3 is also the conjugate of √11+3

2) Multiply both numerator and denominator with the conjugate=1÷(√11+3)×(√11-3)

                =1×(√11-3)

                     ÷

                 √11+3)×(√11-3) here we have to use the identity (a+b)(a-b)=a²-b²

                =√11-3

                       ÷

                (√11)²-3²  a root of the number raise to 2 is the number itself

                 =√11-3

                      ÷

                  11-9

               =√11-3

                     ÷

                      2

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