Question

How would you answer Q5 e step by step please

Answer 1

See below.

Explanation:

a) √2 + √50 + √98

= √2 + 5√2 + 7√2

= 13√2

c) 5√7 + 2√5 - 3√28

= 5√7 + 2√5 - 6√7

= 2√5 - √7

e) √150 - √96 - √162 + √72

= 5√6 - 4√6 - 9√2 + 6√2

= √6 - 3√2

g) 7√3 - 2√8 + √12 + 3√8

= 7√3 - 4√2 + 2√3 + 6√2

= 9√3 + 2√2

i) 3√49 + 2√288 - √144 - 2√18

= 21 + 24√2 - 12 - 6√2

= 9 + 18√2

= 9(1+ √2)

Answer 2

`√(6) -3√(2)`

Explanation:

`√(150) -√(96) -√(162) +√(72)`

`=√(25\cdot6) -√(16\cdot6) -√(81\cdot2) +√(36\cdot2)`

`=√(25)√(6) -√(16)√(6) -√(81)√(2) +√(36)√(2)`

`=5√(6) -4√(6) -9√(2) +6√(2)`

`=√(6) -3√(2)`