Question

If x=2 + 3√5 then find the value of (x+14/x)​

Answer 1

Answer:

2+3√5 + 14/2+3√5

squaring x

4+18+12√5 + 14/2+3√5

36+12√5/2+3√5

rationalizing the denominator

(36+12√5 / 2+3√5)*2-3√5

72-108√5+24√5-180/4-45

-108-84√5. /-41

108+84√5/41

if the question is 2+3√2 then same method but the answer will be 6√2

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