Question

The value of (3+√3)(2+√2) is: (a) 6+3√2+2√3+√6 (b)3+3√2+3√3+6 (c)6-3√2-2√3-√6 (d)6-3√2+2√3-√6

Answer 1

Answer:

(a) 6+3√2+2√3+√6

Step-by-step explanation:

3(2+√2)+√3(2+√2)

6+3√2+2√3+√6

Answer 2

EVALUTION★

$= (3 + \sqrt{3} )(2 + \sqrt{2} ) \\ \\ = 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{3} \sqrt{2}$

• can be this written as

$= 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{2 \times 3} \\ \\ = 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{6}$

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answer★

option (a) is ✅

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I hope it helps