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(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) i...


Question

(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) is equal to

Options

A) 1

B) (\(\sqrt{2} + 4\sqrt{2}\))

C) (6\(\sqrt{2}\)

D) 8

The correct answer is A.

Explanation:

(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\))
(\(\sqrt{3} + \sqrt{2}\) + (\(\sqrt{3} + \sqrt{2}\)) = 3 + (\(\sqrt{6} - \sqrt{6}\)) - 2
= 1

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Dicussion (1)

  • (\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\))
    (\(\sqrt{3} + \sqrt{2}\) + (\(\sqrt{3} + \sqrt{2}\)) = 3 + (\(\sqrt{6} - \sqrt{6}\)) - 2
    = 1

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