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Gala2k [10]
3 years ago
6

Distribute and simplify the radicals below (√12+6)(-√8-√2)

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

For this case we have the following expression:

(\sqrt {12} +6) (- \sqrt {8} - \sqrt {2})

We apply distributive property:

(\sqrt {12} * - \sqrt {8}) + (\sqrt {12} * - \sqrt {2}) + (6 * - \sqrt {8}) + (6 * - \sqrt {2} ) =\\- \sqrt {96} - \sqrt {24} -6 \sqrt {8} -6 \sqrt {2} =

We rewrite in equivalent form:

- \sqrt {4 ^ 2 * 6} - \sqrt {2 ^ 2 * 6} -6 \sqrt {2 ^ 2 * 2} -6 \sqrt {2} =\\-4 \sqrt {6} -2 \sqrt {6} -6 * 2 \sqrt {2} -6 \sqrt {2} =

-4 \sqrt {6} -2 \sqrt {6} -12 \sqrt {2} -6 \sqrt {2} =\\-6 \sqrt {6} -18 \sqrt {2}

Answer:

-6 \sqrt {6} -18 \sqrt {2}

uranmaximum [27]3 years ago
3 0

Answer:

Its A. on edge

Step-by-step explanation:

could that really be simplified anymore!!!!!

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