What is the following product ? (sqrt14-sqrt3)(sqrt12+sqrt7)

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asked Jan 16, 2022 144k views

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What is the following product ? (sqrt14-sqrt3)(sqrt12+sqrt7)

Mathematics
high-school

MSpreij asked

by MSpreij

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1 Answer

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Answer:

Explanation:

$(√(14)-√(3))(√(12)+√(7))=√(14)*√(12)+√(14)*√(7)-√(3) *√(12)-√(3) *√(7)\\\\=√(14*12) + √(14*7)-√(3*12)-√(3*7)\\\\=√(2*7*2*2*3) + √(2*7*7)-√(3*3*2*2)-√(3*7)\\\\=2√(2*7*3)+7√(2)-3*2-√(21)\\\\= 2√(42)+7√(2)-6-√(21)$