Question

6. Simplify the following expressions :-
(a) (3-√6)(√3+√2)
(b) (2√5-3√7)2
Sol:
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Answer 1

Answer:

2.The answer is: 83 + 12√35

(a + b)² = a² + 2ab + b²

In (2√5 + 3√7)², a = 2√5, b = 3√7

Just substitute a and b:

(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² = 

            = 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =

            = 4 * 5 + 12 * √(5*7) + 9 * 7 =

            = 20 + 12 *√35 + 63 =

            = 83 + 12√35

Step-by-step explanation:

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