Question

Evaluate (3 root 3 minus root 6 ) (root 6 plus 3 root 3 )

Answer 1

Answer:

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Answer 2

Answer:

$(3 \sqrt{3 } - \sqrt{6} )( \sqrt{6} + 3 \sqrt{3} ) \\ = (3 \sqrt{3 } - \sqrt{6} )( 3 \sqrt{3} + \sqrt{6} ) |using \: ( {a }^{2} - {b}^{2} = (a + b) - (a - b) | \\ = {(3 \sqrt{3)} }^{2} - {( \sqrt{6)} }^{2} \\ = 9 \times 3 - 6 \\ = 27 - 6 \\ = 21$