Question
Simplify the expression: (√7 + √5)/(√7 −
√5) + (√7 − √5)/(√7 + √5)Solution
Let a = √7, b = √5. Expression = (a + b)/(a − b) + (a − b)/(a + b) = [(a + b)² + (a − b)²] / (a² − b²) (a + b)² = a² + 2ab + b² (a − b)² = a² − 2ab + b² Sum = 2a² + 2b² Denominator = a² − b² So expression = 2(a² + b²)/(a² − b²) Now a² = 7, b² = 5: = 2(7 + 5)/(7 − 5) = 2×12 / 2 = 12.
In the question given below, a sentence is given, divided into parts. One of the parts may contain an error. Identify the part that contains the error,...
In these questions some of the sentences have errors and some have none. Find out which part of a sentence has an error and indicate it corresponding t...
In the sentence identify the segment which contains the grammatical error.
Saraswati college has maintained its reputation as one of the best col...
Parts of the following sentence are given as options. Identify the segment that contains a grammatical error.
I shall buy this book if you like...
Identify the segment in the sentence, which contains the grammatical error.
Each student will have to carry his own lunch on the picnic.
Rise in the water level in the village and adjoining areas has laid to waterlogging and destruction of standing crops in the village.
Each sentence given below has been divided into four options A, B, C, D one of which is erroneous. Identify the erroneous part and mark that option as y...
Directions: In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appro...
Select the alternative that will improve the bold part of the sentence in case there is no improvement select “No improvement”.
Some people l...
In the sentence identify the segment which contains the grammatical error.
'Plogging' is an international trend, in which someone picking up tras...
