If a = 2 + √3, then find the value of a - 1/a
Answers
Answered by
0
Answer:
Given that,
a=2+
3
Then, Value of
a−
a
1
=2+
3
−
2+
3
1
=2+
3
−
2+
3
1
×
2−
3
2−
3
onrationalize
=2+
3
−
4−3
(2−
3
)
=2+
3
−2+
3
=2
3
Hence, this is the answer.
Explanation:
Answered by
0
Answer:
2×√3
Explanation:
a=2+√3
=>1/a=1/(2+√3)[multiply and divide by (2-√3)]
=>1/a=(2-√3)/(2^2-(√3)^2)
Use (a+b)×(a-b) = a^2-b^2
=>1/a=(2-√3)/(4-3)
=>1/a=2-√3
=>a-(1/a) = 2+√3-(2-√3)
= 2+√3-2+√3
=√3+√3
=2×√3
Hope it helps....
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