Question

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Answer 1

Step-by-step explanation:

Solution:

(i) (3 + √3)(2 + √2)

= 2(3 + √3) + √2(3 + √3)

= 6 + 2√3 + 3√2 + √6

Thus, (3 + √3)(2 + √2) = 6 + 2√3 + 3√2 + √6

(ii) (3 + √3)(3 – √3) = (3)2 – (√3)2

= 9 – 3 = 6

Thus, (3 + √3)(3 – √3) = 6

(iii) (√5 + √2)2 = (√5)2 + (√2)2 + 2(√5)(√2)

= 5 + 2 + 2√10 = 7 + 2√10

Thus, (√5 + √2 )2 = 7 + 2√10

(iv) (√5 – √2)(√5 + √2) = (√5)2 – (√2)2 = 5 – 2 = 3

Thus, (√5 – √2) (√5 + √2) = 3

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