Question

give me the correct answer
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Answer 1

Answer:

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

Step-by-step explanation:

$1.) \: ( { \sqrt{5} } + { \sqrt{2} } {)}^{2} \\ { \sqrt{5} }^{2} + { \sqrt{2} }^{2} + 2 \times \sqrt{5 } \times \sqrt{2} \\ = 5 + 2 + 2 \sqrt{10} \\ = 7 + 2 \sqrt{10}$

$(3 + \sqrt{3} )(3 - \sqrt{3} ) \\ = {3}^{2} - { \sqrt{3} }^{2} \\ = 9 - 3 \\ = 6$

Answer 2

1) 27+10√2

2) 6+3√2+2√3+√6

3) 6

Step-by-step explanation:

1)

${(5 + \sqrt{2}) }^{2} = {5}^{2} + 2 \times 5 \times \sqrt{2} + {( \sqrt{2}) }^{2} \\ = 25 + 10 \sqrt{2} + 2 \\ = 27 + 10 \sqrt{2}$

2)

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

3)

$(3 + \sqrt{3} )(3 - \sqrt{3} ) = {3}^{2} - {( \sqrt{3} )}^{2} \\ = 9 - 3 \\ = 6$

I hope it helps you.

\bold\green{MARK \ \ ME \ \ BRAINLIEST}