Answered

given the expression below, which is the best process for simplifying the expression?


(-5sqrt[2]-sqrt[6])(sqrt[3]+2sqrt[2])

Acombine like terms, distribute the radicals; simplify the radicals
Bcombine like terms, simplify the radicals; distribute radicals
Cdistribute the radicals, simplify the radicals, combine like terms
Dnone of the above. ...?

Verified Answer :

The best and most correct answer among the choices provided by your question is the first choice or letter A,

The best process for simplifying the expression is: combine like terms, distribute the radicals; simplify the radicals.

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Answer:

distribute the radicals, simplify the radicals, combine like terms

Step-by-step explanation:

(-5sqrt[2]-sqrt[6])(sqrt[3]+2sqrt[2])

\((-5\sqrt{2})-\sqrt{6} )(\sqrt{3} +2\sqrt{2} )\)

To multiply it , we apply FOIL method

Distribute the radicals inside the second parenthesis

After distributing the radicals inside the second parenthesis we multiply and simplify the radical as much as we can

Then we combine like terms to simplify further

distribute the radicals, simplify the radicals, combine like terms

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