Question

show that reciprocal of 3+2√2 is an irrational.

Answer 1

the reciprocal of 3+2√2 is 1/(3+2√2)

the reciprocal of 3+2√2 is 1/(3+2√2)1/(3+2√2)

the reciprocal of 3+2√2 is 1/(3+2√2)1/(3+2√2)= 1/(3+2√2) * (3-2√2)/(3-2√2)

the reciprocal of 3+2√2 is 1/(3+2√2)1/(3+2√2)= 1/(3+2√2) * (3-2√2)/(3-2√2)= (3-2√2)/(9 - 8)

the reciprocal of 3+2√2 is 1/(3+2√2)1/(3+2√2)= 1/(3+2√2) * (3-2√2)/(3-2√2)= (3-2√2)/(9 - 8)= 3-2√2 , which is irrational....

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Answer 2

Answer:

By reciprocal we get the value and then by rationalize we can get the value which is irrational