Question

Answer these questions​

Answer 1

Answer:

5) (i) 2√3-5√2+√3+2√2

=3√3-3√2

=3(√3-√2).

(ii) ⅔√7- ½√2+6√11+⅓√7+(3/2) √2-√11

=(3/3) √7+(2/2)√2+5√11

=√7+√2+5√11

6) (i) 3√5 ×2√5

=(3×2) (√5) ²

=6×5

=30

(ii) 3√28×2√7

=3√(4×7) ×2√7

=6√7×2√7

=12×7

=84

7) (i) (4+√2) (4-√2) [→(a+b) (a-b) =a²-b²]

=4²-(√2) ²

=16-2

=14

(ii) (√5-√3) ² [ → (a-b) ²=a²+b²-2ab]

=(√5) ²+(√3) ²-2(√5) (√3)

=5+3-2√5×3

=8-2√15

(iii) (√5-√2) (√2-√3)

=√5(√2-√3) -√2(√2-√3)

=√10-√15-2-√6