Two classmates Ankith and Reshma simplified two different questions during the
revision hour and explained to each other their simplifications. Ankith simplified
question ‘A’ and Reshma simplified question ‘B’. Answer the following questions.
A)
√5 + √3
√5 − √3
+
√5 − √3
√5 + √3
= c + d√15 ( Done by Ankith)
B) If a =
3 + √5
2
, then find the value of a2
+
1
a2
( Done by Reshma)
1. Rationalising factor of √5 − √3 -------
2. What is the value of ‘c’ and ‘d’?
3. Which identity was applied by Ankith in the simplification of the denominator?
4. What is the value of 1
a
?
5. Value of a
2
+
1
a2
is -------------
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