Q. 24.3( 270 Votes )

Simplify each of

Answer :

(i) (3 + √3) (2 + √2)

= 3 (2 + √2) + √3 (2 + √2)

= 3 × 2 + 3√2 + 2√3 + √2 x √3


= 6 +
 3√2 + 2√3 + √6


(ii) (3 + √3) (3 - √3)            [Since, (a + b) (a – b) = a2 – b2]


= 32 – (√3)2


= 9 – 3


= 6


(iii) (√5 + √2)2           [Since, (a + b)2 = a2 + b2 + 2ab]


= (√5)2 + (√2)2 + 2 × √5×√2


= 5 + 2 + 2 ×


= 7 + 2√10


(iv) (√5 - √2) (√5 + √2) [Since, (a + b) (a – b) = a2 – b2]


= (√5)2 – (√2)2


= 5 – 2


= 3

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