Question

The fraction 2(√2+√6)÷3(√2+√3)

Answer 1

Answer:

Step-by-step explanation:

2 ( √2 + √6 ) ÷ 3 ( √2 + √3 )

= 2 ( √2 + √6 ) x ( √2 - √3 ) ÷ 3 ( √2 + √3 ) x ( √2 - √3 ) ( Rationalising the denominator)

= 2 ( 2 - √6 + √12 - √18 ) ÷ 3 ( 2   - 3 )

= 2 ( 2 - √6 + √12 - √18 ) ÷ 3 (  - 1 )

= 2 ( 2 - √6 + √12 - √18 ) ÷  ( -3 )

= ( - 2 / 3 ) x ( 2 - √6 + √12 - √18 )  or

= ( - 2 / 3 ) x ( 2 - √6 + 2√3 - 3√2 )