Question

simplify the following expression i) ( 5+ root 7 ) ( 2+ root 5) ii) ( 5 + root 5 ) ( 5 - root 5) iii) ( root 3 + root 7 )2 iv) ( root 11 - root 7) ( root 11 + root 7) ​

Answer 1

Answer:

i) ( 5+ root 7 ) ( 2+ root 5)

= 10 + 5√5 + 2√7 + √35

ii) ( 5 + root 5 ) ( 5 - root 5)

= 25 - 5 = 20

iii) ( root 3 + root 7 )^2

= 3 + 7 + 2√21

iv) ( root 11 - root 7) ( root 11 + root 7)

= 11 - 7 = 4