If a=2+root3 ,then find the value of a-1÷a.
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Answered by
108
Given a=2+root3
=> (1/a)= 1/(2+root3)
Multiply and divide by (2-root3)
=> (1/a)= (2-root3)/[(2+root3)(2-root3)]
=> (1/a)= (2-root3)/[4-3]
=> (1/a)= (2-root3)
=> a+(1/a) = (2+root3)+(2-root3)
=4 this is your answer.
=> (1/a)= 1/(2+root3)
Multiply and divide by (2-root3)
=> (1/a)= (2-root3)/[(2+root3)(2-root3)]
=> (1/a)= (2-root3)/[4-3]
=> (1/a)= (2-root3)
=> a+(1/a) = (2+root3)+(2-root3)
=4 this is your answer.
Answered by
3
Answer:
4 is your answer
.
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