Multiply and Divide Radicals Quick Check 1 of 51 of 5 Items

Question

Question Multiply (7–√) (−2–√) . Give an exact answer.(1 point)
√14
√5
-√14
-7√2

Answer 1

To multiply (7–√) and (−2–√), we need to use the distributive property.

First, we'll multiply 7 by −2 and get −14.

Next, we'll multiply 7 by −√ and get −7√.

Then, we'll multiply −√ by −2 and get 2√.

Lastly, we'll multiply −√ by −√ and get √2.

Combining all the multiplication results, we have:

−14 − 7√ − 2√ + √2

Simplifying the combining like terms, we have:

−14 − 9√ + √2

Thus, the exact answer to the multiplication of (7–√) (−2–√) is −14 − 9√ + √2.