Respuesta :

using the distributive law:-

this =  sqrt 14 sqrt 12 + sqrt 14 sqrt 7  - sqrt 3 sqrt 12 - sqrt 3 sqrt 7

= sqrt1 68 + sqrt 91 - sqrt 36 - sqrt 21

= sqrt 168 + sqrt 91 - sqrt21 - 6

Answer:[tex]2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}[/tex]

Step-by-step explanation:

Given

[tex]\left ( \sqrt{14}-\sqrt{3}\right )\left ( \sqrt{12}-\sqrt{7}\right )[/tex]

using distributive property

[tex]\sqrt{14\times 12}+\sqrt{14\times 7}-\sqrt{3\times 12}-\sqrt{3\times 7}[/tex]

[tex]\sqrt{4\times 2\times 3\times 7}-\sqrt{7\times 7\times 2}-\sqrt{36}-\sqrt{3\times 7}[/tex]

[tex]2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}[/tex]

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