Q A fran travelof from І яI stationJL 2 an atherStaki onY andthe Spe

1.	Q A fran travelof from І яI stationJL 2 an atherStaki onY andthe Speed of20 km/h andthe ret win speed30 km lh find theaverage speed ofJarneyfatd
Answer» Step-by-step EXPLANATION: (3 + √3) (2 + √2) = 3(2 +√2) + √3(2 +√2) = 3 × 2 + 3√2+ 2√3 + √3 ×√2 (3 + √3) (2 + √2) = 6 +3√2 + 2√3 + √6 (ii) (3 + √3) (3 – √3) = (3)² – (√3)² [√3 × √3 = 3] [∵ (a + b) (a – b) = a² – b²] = 9 – 3 (3 + √3) (3 – √3) = 6 (iii) (√5 + √2)² = (√5)² + (√2)² + 2 ×√5 × √2 [∵ (a + b)² = a² + b² + 2ab] = 5 + 2 + 2 × √(5× 2) (√5 + √2)² = 7 + 2√10 (IV) (√5 – √2) (√5 + √2) = (√5)² – (√2)² [∵ (a + b) (a – b) = a² – b²] = 5 – 2 (√5 – √2) (√5 + √2) = 3

Q A fran travelof from І яI stationJL 2 an atherStaki onY andthe Speed of20 km/h andthe ret win speed30 km lh find theaverage speed ofJarneyfatd

Answer»

Step-by-step EXPLANATION:

(3 + √3) (2 + √2)

= 3(2 +√2) + √3(2 +√2)

= 3 × 2 + 3√2+ 2√3 + √3 ×√2

(3 + √3) (2 + √2) = 6 +3√2 + 2√3 + √6

(ii) (3 + √3) (3 – √3)

= (3)² – (√3)² [√3 × √3 = 3]

[∵ (a + b) (a – b) = a² – b²]

= 9 – 3

(3 + √3) (3 – √3) = 6

(iii) (√5 + √2)²

= (√5)² + (√2)² + 2 ×√5 × √2

[∵ (a + b)² = a² + b² + 2ab]

= 5 + 2 + 2 × √(5× 2)

(√5 + √2)² = 7 + 2√10

(IV) (√5 – √2) (√5 + √2)

= (√5)² – (√2)²

[∵ (a + b) (a – b) = a² – b²]

= 5 – 2

(√5 – √2) (√5 + √2) = 3