Question

1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2) 2nd.(root 5 + 2 root 10) (3 root 5 + root 10) 3rd.(4 root 6 - 3 root 3) (2 root 3 - 5) 4rd. (6 root 3 - 5 root 2 ) (2 root 2 - root 3) 5th. (root 10 - 3 ) ( 4 - 3 root 10)

Answer 1

1. 3√6 + 10

2. 35 + 7√50

3. 24√2 - 20√6 + 15√3 - 18

4. 17√6 - 38

5. 13√10 - 42

Explanation:

The questions are in surd form.

1. (2√2 + √3)(2√3 - √2)

open the parenthesis by multiplying both together .

4√6 + 4 + 6 - √6

3√6 + 10

2. (√5 + 2√10)(3√5 + √10)

15 + √50 + 6√50 + 20

35 + 7√50

3. (4√6 - 3√3)(2√3 - 5)

8√18 - 20√6 - 18 + 15√3

8√9 × 2 - 20√6 - 18 + 15√3

24√2 - 20√6 + 15√3 - 18

4. (6√3 - 5√2)(2√2 - √3)

12√6 - 18 - 20 + 5√6

17√6 - 38

5 (√10 - 3)(4 - 3√10)

4√10 - 30 - 12 + 9√10

13√10 - 42