Question
What is the value of `1/sqrt(12 + sqrt140) +
1/sqrt(8 - sqrt60) - 2/sqrt(10 - sqrt84)` ?Solution
`1/sqrt(12 + sqrt140) + 1/sqrt(8 - sqrt60) - 2/sqrt(10 - sqrt84)` `=1/sqrt((sqrt7)^2 + (sqrt5)^2+ 2sqrt35) + 1/sqrt((sqrt5)^2+ (sqrt3)^2- 2sqrt15) - 2 / sqrt((sqrt7)^2+ (sqrt3)^2- 2sqrt21)` = `1/sqrt((sqrt7+ sqrt5)^2) + 1/sqrt((sqrt5 - sqrt3)^2) - 2/sqrt((sqrt7 - sqrt3)^2)` = `1/(sqrt7+ sqrt5) + 1/(sqrt5 - sqrt3) - 2/(sqrt7 - sqrt3)` = `(sqrt7 - sqrt5)/2 + (sqrt5 + sqrt3)/2 - ((sqrt7+ sqrt3)/2)` = `(sqrt7 - sqrt5 + sqrt5 + sqrt3 - sqrt7 - sqrt3)/2` = 0
Read the given statement s and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varian...
Conclusions:
I. Some Imaginations are not Illusions
II. Some Illusions being Simulation is not a possibility
Statements:
In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to b...
In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true ev...
- Statements:
No Subject is Chapter.
Some Chapter is Topic.
Only a few Topic is Paragraph.
Conclusions:
I. Some Chapt... Statements:
Some number are digit.
Some digit are alphabet.
Only alphabet is vowel.
Some consonant are alphabet.
Conc...
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be tr...
Statements:
Only a few constellation is movement
All springs is constellation
Only constellation is screw
Conclusions:
<...Statements: Â Chapter % Topics Topics # Number Paragraph & Heading Number @ Paragraph
Conclusion:
I. Â Paragraph $ Topics
II. ...
Statements:
No Summer is Winter.
Only a few Winter is Autumn
Some Summer are Spring.
Conclusions:
I. All W...
Relevant for Exams:
