Question

2. Simplify each of the following expressions:
9 v
(3+√3)(2 + √2) (m) (3 + V3) (3 – 13
(in) (15 + x2)
(iv) (15 - 2) (V5 + v2)​

Answer 1

Answer:

Step-by-step explanation:

( 1 ) ( 3 + √3 ) ( 2 + √2 ) = ( 3 × 2 ) + ( 3 × √2 ) + ( √3 × 2 ) + ( √3 × √2 )

= 6 + 3√2 + 2√3 + √6

( 2 ) ( 3 + √3 ) ( 3 - √3 ) = ( 3 )^2 - ( √3 )^2 ( ∵ (a +b ) (a -b ) = a ^2 - b ^2 )

= 9 - 3 ( √ and square are cancelled )

= 6

( 3 ) ( √5 - 2 ) ( √5 + 2 ) = ( √5 )^2 - ( 2 )^2 ( ∵ √ and square are cancelled )

= 5 - 4 ( ∵ √ and square are cancelled )

= 1