Question

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answer step by step​

Answer 1

Answer:

√3*√7 = √21

√3*√3=3

√21-3

√5*√2=√10

√7*√2=14

√10√14

Answer 2

Explanation:

$\sf (i) \: \sqrt{3}(\sqrt{7} - \sqrt{3}) \\ \\ \sf = \sqrt{3}×\sqrt{7} - \sqrt{3}×\sqrt{3} \\ \\ \sf = \sqrt{7×3} - \sqrt{3×3} \\ \\ \sf = \sqrt{21} - 3 \\ \\ \sf (ii)\: (\sqrt{5} - \sqrt{7})\sqrt{2} \\ \\ \sf = \sqrt{5} × \sqrt{2} - \sqrt{7} × \sqrt {2} \\ \\ \sf= \sqrt{5×2} - \sqrt{7×2} \\ \\ \sf = \sqrt{10} - \sqrt{14} \\ \\ \sf (iii) \: (3\sqrt{2} - \sqrt{3})(4\sqrt{3} - \sqrt{2}) \\ \\ \sf = 3\sqrt{3} × 4\sqrt{3} - \sqrt{3} × 4\sqrt{3} -3\sqrt{2}×\sqrt{2} + \sqrt{3}×\sqrt{2} \\ \\ \sf = 12\sqrt{6} - 4 × 3 - 3 × 2 + \sqrt{6} \\ \\ \sf = 13\sqrt{6} - 12 - 6 \\ \\ \sf 13\sqrt{6} - 18$