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Chapter 3: Rationalisation Exercise – 3.1 Question: 1 Simplify each of the following: Solution: = (43)1/3 = 4(3 × 1/3) = 41 = 4 = 15(4×1/4) = 15 Question: 2 Simplify the following expressions: Solution: Question: 3 Simplify the following expressions: Solution: As we know, (a + b) (a - b) = (a2 − b2) So, 112 - 11 121 - 11 = 110 As we know, (a + b) (a - b) = (a2 − b2) So, 52 - 7 25 - 7 = 18 As we know, (a + b) (a - b) = (a2 − b2) = 6 As we know, (a + b) (a - b) = (a2 − b2) = 6 As we know, (a + b) (a - b) = (a2 − b2) = 5 - 2 = 3 Question: 4 Simplify the following expressions: Solution: As we know, (a + b)2 = (a2 + 2 × a × b + b2) As we know, (a - b)2 = (a2 − 2 × a × b + b2) As we know, (a + b)2 = (a2 + 2 × a × b + b2)
Simplify each of the following:
= (43)1/3
= 4(3 × 1/3)
= 41
= 4
= 15(4×1/4)
= 15
Simplify the following expressions:
As we know, (a + b) (a - b) = (a2 − b2)
So, 112 - 11
121 - 11 = 110
So, 52 - 7
25 - 7 = 18
= 6
= 5 - 2
= 3
As we know, (a + b)2 = (a2 + 2 × a × b + b2)
As we know, (a - b)2 = (a2 − 2 × a × b + b2)
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Chapter 3: Rationalisation Exercise – 3.2...
