Question

1. Multiply: a. √5 (√7 - √3) , b. (2√3 + 3√2) (5√2 - 4√5)

Answer 1

Answer:

i. √3(√7 – √3)

=√3 × √7 – √3 × √3

[∵√a(√b–√c)=√a×√b–√a×√c]

=√21 – 3  

ii. (√5 – √7)√2

=√5 × √2 – √7 × √2

[∵√a(√b–√c)=√a×√b–√a×√c]

=√10 – √14

iii. (3√2 – √3)(4√3 – √2)

=3√2(4√3 – √2) – √3(4√3 – √2)

=3√2×4√3 – 3√2×√2 – √3×4√3 + √3×√2

[∵√a(√b–√c)=√a×√b–√a×√c]

=12√6 – 3×2 – 4×3 + √6  

=12√6 – 6 – 12 + √6

=13√6 – 18

Step-by-step explanation:

Answer 2

Step-by-step explanation:

a.√5(√7 - √3)

√a x √b = √a x b

= √5x7 - √5x3

= √35 - √15

b. (2√3 + 3√2) (5√2 - 4√5)

√a x √b = √a x b

= (2√3 + 3√2) (5√2 - 4√5)

= 2√3 (5√2 - 4√5) + 3√2 (5√2 - 4√5)

= 10√3x2 - 8√3x5 + 15√2x2 - 12√2x5

= 10√6 - 8√15 + 15(2) - 12√10

= 10√6 - 8√15 + 30 - 12√10

               Hope it is helpful. Take care.