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Ex 1.5,2 - Simplify each (i) (3 + root 3) (2 + root 2) - Simplifying real numbers

  1. Chapter 1 Class 9 Number Systems
  2. Serial order wise
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Ex1.5, 2 Simplify each of the following expressions: (i)  (3 + √3) (2 + √2) (3 + √3) (2 + √2) = 3(2 + √2) + √3(2 + √2) = 3 × 2 + 3 × √2 + √3 × 2+ √3 × √2 = 6 + 3√2 + 2√3+ √(3" × " 2) = 6 + 3√2 + 2√3 + √6 Ex 1.5, 2 Simplify each of the following expressions: (ii)  (3 + √3) (3 – √3) (3 + √3) (3 – √3) We know that, (a + b) (a-b) = a2 – b2 Putting a = 3, b = √3 = (3)2 – (√3)2 = 9 − 3 = 6 Ex1.5, 2 Simplify each of the following expressions: (iii)  (√5 + √2)2 (√5 + √2)2 We know that (a + b)2= a2 + b2 + 2ab where a = √5 , b = √2 = (√5)2 + (√2)2 + 2 (√5) (√2) = 5 + 2 + 2 √(5 ×2) = 5 + 2 + 2 √10 = 7 + 2 √10 Ex1.5, 2 Simplify each of the following expressions: (iv)  (√5 – √2) (√5 + √2) (√5 – √2) (√5 + √2) We know that, (a + b) (a-b) = a2 – b2 Putting a = √5, b = √2 = (√5)2 – (√2)2 = 5 – 2 = 3

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