Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)
a
- \(\frac{1}{2}\sqrt{5}\)
b
\(\frac{1}{2}\sqrt{5}\)
c
-- \(\frac{1}{4}\sqrt{5}\)
d
5
Explanation
Correct Option
bVideo Explanation
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Discussions (8)
Chuks612
9 years ago
1/1-√5- 1/1-√5
= 1-√5-(1+√5)/(1+√5)(1-√5)
= 1-√5-1-√5/1-√5+√5-5
= -2√5/-4 (minus cancels minus)
= (1/2)√5.
The right answer is therefore B not A.
MathsKiller
6 years ago
fraction(3+square root5)-(3-square root5) instead of(1+square root5)-(1-square root5) answer is 1/2squareroot5
