1.

4. Which of the following i a positive 1stinal nanherd.​

Answer» ONG>ANSWER:

This QUESTION is dealing with RATIONALISATION of a fraction. Rationalisation is performed to eliminate irrational expression in the denominator. For this particular case we can do this by applying the following rule: (a−b)(a+b)=a2−b2.

Multiple both numerator and denominator by  

√

n+1

+

√

n

:  

√

n+1

+

√

n

(

√

n+1

−

√

n

)(

√

n+1

+

√

n

)

 

=

√

n+1

+

√

n

(

√

n+1

)2−(

√

n

)2)

 

=

√

n+1

+

√

n

n+1−n

 

=

√

n+1

+

√

n

.

Step-by-step EXPLANATION:



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