Question

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Answer 1

Answer:

i don't know

Step-by-step explanation:

i don't know what is meaning of with the following is the

Answer 2

$(i) \: \: \sqrt{7} ( \sqrt{35} + \sqrt{7} ) \\ \sqrt{245} + 7 \\ 7 + \sqrt{245} \\ 7 + \sqrt{5 \times 7 \times 7} \\ 7 + 7 \sqrt{5} \\ 7(1 + \sqrt{5} ). \\ \\ \\ (ii) \: \: \sqrt{3} ( \sqrt{15} - \sqrt{60} ) \\ \sqrt{45} - \sqrt{180} \\ \sqrt{3 \times 5 \times 5} - \sqrt{2 \times 2 \times 3 \times 5\times 5} \\ 5 \sqrt{3} - 10\sqrt{3} \\( 5 - 10) \sqrt{3} \\ - 5 \sqrt{3} . \\ \\ \\ (iii) \: \: \sqrt{3} (2 \sqrt{12} - \sqrt{48} ) \\ 2 \sqrt{36} - \sqrt{144} \\ 2\sqrt{2 \times 2 \times 3 \times 3} - \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} \\ 2 \times 2 \times 3 - 2 \times 2 \times 3 \\ 12 - 12 \\ 0.$

Product :

$(i) \: \: (3 + \sqrt{2} )(2 - \sqrt{3} ) \\ 3(2 - \sqrt{3} ) + \sqrt{2} (2 - \sqrt{3} ) \\ 6 - 3 \sqrt{3} + 2 \sqrt{2} - \sqrt{6} . \\ \\ \\ (ii) \: \: (2 \sqrt{5} - \sqrt{3} )(3 \sqrt{5} + \sqrt{3} ) \\ 2 \sqrt{5} (3 \sqrt{5} + \sqrt{3} ) - \sqrt{3} (3 \sqrt{5} + \sqrt{3} ) \\ 30 + 2 \sqrt{15} - 3 \sqrt{15} - 3 \\ 27 - \sqrt{15} .$

Question 3rd is half .. !

Simplify :

$(i) \: \: ( \sqrt{7} + \sqrt{6} )( \sqrt{7} - \sqrt{6} ) \\ \sqrt{7} ( \sqrt{7} + \sqrt{6} ) - \sqrt{6} ( \sqrt{7} + \sqrt{6} ) \\ 7 + \sqrt{42} - \sqrt{42} - 6 \\ 7 - 6 \\ 1. \\ \\ \\ (ii) \: \: (3 \sqrt{7} + 4 \sqrt{6} )(3 \sqrt{7} - 4 \sqrt{6} ) \\ 3 \sqrt{7} (3 \sqrt{7} + 4 \sqrt{6} ) - 4\sqrt{6} (3 \sqrt{7} + 4 \sqrt{6} ) \\ 63 - 12 \sqrt{42} - 12 \sqrt{42} - 24 \\ 63 - 24 \\ 39. \\ \\ \\ (iii) \: \:( 7 + \sqrt{6} )(7 - \sqrt{6} ) \\ 7(7 + \sqrt{6} ) - \sqrt{6} (7 + \sqrt{6} ) \\ 49 + 7 \sqrt{6} - 7 \sqrt{6} - 6 \\ 49 - 6 \\ 43 \\ \\ \\ (iv) \: \: (4 \sqrt{5} - \sqrt{6} )(4 \sqrt{5} + \sqrt{6} ) \\ 4 \sqrt{5} (4 \sqrt{5} + \sqrt{6} ) - \sqrt{6} (4 \sqrt{5} + \sqrt{6} ) \\ 80 + 4 \sqrt{30} - 4 \sqrt{30} - 6 \\ 80 - 6 \\ 74.$