Question

Q4.Simplify the following:

(i) (5+√7 )(2 + √5 ) (ii) (2√3 + 6√5 ) (5√2 - 3√3 )

(iii) (√11 + √7 ) (√11 - √7 ) (iv) (8√2 + 3√5 ) (3√2 - 6√3 )​

Answer 1

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Answer 2

Answer:

(i)10+5√5+2√7+√35

(ii)2(5√6+15√10-9√15)-18

(iii)4

(iv)48-48√6+9√10-18√15

Step-by-step explanation:-

(i)(5+√7)(2+√5)

5(2+√5)+√7(2+√5)

10+5√5+2√7+√35

(ii)(2√3+6√5)(5√2-3√3)

2√3(5√2-3√3)+6√5(5√2-3√3)

10√6-6√9+30√10-18√15

10√6-6×3+30√10-18√15

10√6-18+30√10-18√15

10√6+30√10-18√15-18

2(5√6+15√10-9√15)-18

(iii)(√11+√7)(√11-√7)

(√11)^2(√7)^2

11-7

4

(iv)(8√2+3√5)(3√2-6√3)

8√2(3√2-6√3)+3√5(3√2-6√3)

24√4-48√6+9√10-18√15

24×2-48√6+9√10-18√15

48-48√6+9√10-18√15

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