Question
Simplify: (√5 + √2)/(√5 − √2) + (√5
− √2)/(√5 + √2)Solution
Let a = √5, b = √2. Expression = (a + b)/(a − b) + (a − b)/(a + b) Combine: = [(a + b)² + (a − b)²] / (a² − b²) = [a² + 2ab + b² + a² − 2ab + b²] / (a² − b²) = [2a² + 2b²] / (a² − b²) = 2(a² + b²)/(a² − b²) Now a² = 5, b² = 2: ⇒ 2(5 + 2)/(5 − 2) = 2×7 / 3 = 14/3
Statements: E ≥ F ≥ A ≤ W, N ≥ M ≥ Y = E
Conclusion:
I. N > W
II. Y ≥ A
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
In which of the following expressions does the expression ‘L > B’ and ‘R < N’ is true?
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statements : E > N > W ≤ M > L; K ≥ G; L > P = Q > G
Conclusions :
I . M > G
II . W < N
III . L < K
...What is the place of question mark (?) in the given expression does the expression L < I and W > L is definitely true?
W = P ≥ M ? L ; P ≤ I
Statements: L = T > V ≥ M = I; V < O ≤ U = S
Conclusions:
I. T < S
II. U > I
Statements: C $ O, O% D, A © D
Conclusions:Â
I. A © OÂ
II. D @ CÂ
III. C © A
In which of the following expressions will the expression ‘D < F’ be definitely true?
Statement: H > G = M > S; GÂ `>=` Â T > L; MÂ `<=` Â F <Â Â U
Conclusion: Â I. F > SÂ Â Â Â Â Â Â Â Â Â Â II. T < H
...
