Multiply: (3√6 - √2)(4√2 - √6)

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Given multiplication:

(3√6 - √2)(4√2 - √6)

= 3√6(4√2-√6)-√2(4√2-√6)

= 3√6*4√2 - 3√6*√6 - √2*4√2 + √2*√6

= 12√12 -3√(6*6) -4√(2*2) + √(2*6)

= 12√(4*3) - 3√(36) - 4√(4) + √(12)

= 12*2√3 - 3*6 - 4*2 + 2√3

= 24√3 - 18-8 +2√3

= 24√3 + 2√3 - 18-8

= 26√3 - 18-8

= 26√3 - 26

= 26(√3-1).

Answer:- (3√6 - √2)(4√2 - √6) = 26(√3-1)

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