Question

(√3+√7 )² 12+2√12 10+2√21 20 5+√5

Answer 1

Answer:

Step-by-step explanation:

(i) Given :  (√3 + √7)²

= (√3)² + (√7)² + 2(√3)( √7)

[By using identity , (a + b)²  = a² + b² + 2ab]

= 3 + 7 + 2√21

= 10 + 2√21

(ii) Given : (√5 – √3)²

= (√5)² + (√3)² – 2(√5)(√3)

[By using identity , (a - b)²  = a² + b² - 2ab]

= 5 + 3 – 2√15

= 8 – 2√15

(iii) Given :  (2√5 + 3√2)²

= (2√5)² + (3√2)² + 2(2√5 )( 3√2)

[By using identity , (a + b)²  = a² + b² + 2ab]

= 4 × 5 + 9 × 2 + 12√10

= 20 + 18 + 12√10

= 38 + 12√10