a)
[tex] \sqrt{12} + \sqrt{27} - \sqrt{18} = \sqrt{4 \times 3} + \sqrt{9 \times 3} - \sqrt{9 \times 2} = 2 \sqrt{3} + 3 \sqrt{3} - 3 \sqrt{2} = 5 \sqrt{3} - 3 \sqrt{2} [/tex]
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b)
[tex]5 \sqrt{6} \times 2 \sqrt{3} = 10 \sqrt{18} = 10 \sqrt{9 \times 2} = 10 \times 3 \sqrt{2} = 30 \sqrt{2} [/tex]
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