If a = 3 + 2√2, then a - 1 / a will be equal to
Answers
Answered by
0
Please mark me as brainliest. ...
Attachments:
Answered by
0
Answer:
Answer is 6(1-√2)
Step-by-step explanation:
a = 3 + 2√2
a-1/ a = (3 + 2√2) - 1 / (3 + 2√2)
= (2- 2√2) / (3 + 2√2)
= [(2 -2√2) / (3 + 2√2)]. [(3 - 2√2) / (3-2√2)]
= (2 - 2√2) (3 - 2√2) / (3^2 - 2√2^2)
= 2(3 - 2√2) - 2√2(3 - 2√2) / (9-8)
= (6 - 4√2 - 6√2 + 4√2) / 1
= (6 - 6√2)
= 6 ( 1 - √2 )
Similar questions