Two classmates Salma and Anil simplified two different expressions during the revision hour and explained to each other their simplifications. Salma explains simplification of √ 2/√5 +√3 by rationalizing the denominator and Anil explains simplifications of (√2 + √3)(√2 − √3) by using the identity (a + b)(a − b). Answer the following question.
1. What is the conjugate of √5 + √3.
a) √5 + √3
b) √5 − √3
c) √5 × √3
d) √5/√3
2. By rationalizing the denominator of √ 2/√5 +√3
Salma got the answer:
a) √ 2/√5 −√3
b) √ 2(√5 −√3)/2
c) √5 − √3
d) √ 2(√5 +√3)/2
3. Anil applied _______ identity to solve (√5 + √7)(√5 − √7)
a) (a + b) (a + b)
b) (a + b) (a − b)
c) (a − b) (a − b)
d) a^2+2ab+b^2
4. (√2 + √3)(√2 − √3) =________
a) −1
b) 1
c) 5
d) -5
5.Addition of two irrational numbers is equal to _______.
a) Rational
b) Irrational
c) Integers
d) Whole Number
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