Question

plz help me solve this Q
(2√5 + 3√2)^2

Answer 1

Answer:

$(2 \sqrt{5} + 3 \sqrt{2} ) {}^{2} \\ (2 \sqrt{5} ) {}^{2} + (3 \sqrt{2}) {}^{2} + 2×2 \sqrt{5} \times 3 \sqrt{2} \\ = 20 + 18 + 12 \sqrt{10} \\ = 38+ 12\sqrt{10}$

Answer 2

Given

( 2√5 + 3√2)²

Solution

Applying identity = (a +b)² = a² + b² 2ab

= ( 2√5)² + (3√2)² + 2 × 2√5 × 3√2

= 20 + 18 + 12√10

= 38 + 12√10

Additional information

• (a +b)² = a² + b² + 2ab
• (a - b)² = a² + b² -2ab
• a² - b² = (a+b)(a-b)