√6(7+√2) Please solve and list steps

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

√6(7+√2)

Use the distributive property:

√6 * 7 + √6 * √2

Move the 7 to the left:

7 * √6 + √6 * √2

Use the product rule for radicals on √6 * √2

7 * √6 + √(6*2)

Simplify:

7√6 + √12

Rewrite 12 as 2^2*3

7√6 + √(2^2*3)

Pull terms out from under the radical for final answer:

7√6 + 2√3

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