Question

Simplify each of the following expression: (i) (3+√3)(3-√3) (ii) (√5+√2)²​

Answer 1

Answer:

1. (3+√(3))×(3-√(3)) = 6
2. (√(5)+√(2))^2 = 7 + 2√(10)

Step-by-step explanation:

1. use formula = (a+b)×(a-b) = (a^2 - b^2 (3+√(3))×(3-√(3)) = 3^2 - √(3)^2 = 9 - 3
2. use formula = (a+b)^2 = a^2 + 2ab +b^2
3. = (√(5)+√(2))^2 = √(5)^2 + 2 (√(5)×√(2) ) + √(2)^2

= 5 + 2√(10) + 2 = 7 + 2√(10)