Question

If a=8+3√7 and b=1÷a find the value of a+b

Answer 1

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Answer 2

Answer:

16

Step-by-step explanation:

$a= 8+3\sqrt{7} \text{   ...(i)} \\\texttt{and } b = \frac{1}{a} \text{   ...(ii)}\\\texttt{Substituting (i) and (ii)}\\\implies b = \frac{1}{8+3\sqrt{7}} \\\therefore a+b = \frac{1}{(8+3\sqrt(7))} +(8+3\sqrt(7)) = 16$