can someone help me find the pattern (1 Viewer)

[=)(=]

 

[5uckerberg]

The first step is to rationalise the denominators. Then you will have a telescoping sum after rationalising all the denominators.

Well @=)(=, when you get a telescoping sum you're going to be the happiest man in the world because a telescoping sum is where all the middle terms are the inverse operations of one another and you are left with the first term and the last term.

Note every denominator will be -1 if you actually rationalise the denominator.

 

[=)(=]

got it thanks also for this

 

[5uckerberg]

got it thanks also for this View attachment 35272

Part a, square both sides and you will have finished the Q

Part b sub in .
Next notice that because all values are positive.
Divide by giving us .

Now look at part b when we sub in .
It will give us then you can go to town with your working.

 

[=)(=]

thanks so much for the help

 

[=)(=]

@5uckerberg theres a slight mistake as you subbed x=(1+sqrt(3))/sqrt(2)

 

[5uckerberg]

@5uckerberg theres a slight mistake as you subbed x=(1+sqrt(3))/sqrt(2)

Ah yes that should be . There, you can go to town because you will have which then becomes

 

[=)(=]

cheers