Respuesta :

Answer:

OPTION B IS THE  CORRECT

Step-by-step explanation:

[tex](\sqrt{2}+\sqrt{3})(\sqrt{5}-\sqrt{7})[/tex]

[tex]\sqrt{2}(\sqrt{5}-\sqrt{7})+\sqrt{3}(\sqrt{5}-\sqrt{7})[/tex]

[tex]\sqrt{2*5}-\sqrt{2*7}+\sqrt{5*3}-\sqrt{3*7}[/tex]

[tex]\sqrt{10}+\sqrt{14}+\sqrt{15}-\sqrt{21}[/tex]

TheAnimeGirl

Answer:

√10 + √15 -√14 - √21

Option B is the right option..

Solution,

[tex]( \sqrt{2} + \sqrt{3} )( \sqrt{5} - \sqrt{7} ) \\ [/tex]

Multiply each term in the first parantheses by each term in second paranthesis:

[tex] \sqrt{2} \times \sqrt{5} - \sqrt{2} \times \sqrt{7} + \sqrt{3} \times \sqrt{5} - \sqrt{3} \times \sqrt{7} \\ [/tex]

Calculate the product:

[tex] \sqrt{10} - \sqrt{14} + \sqrt{15} - \sqrt{21} \\ \sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21} [/tex]

Hope this helps....

Good luck on your assignment..

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