Multiply (7–√) (−2–√) . Give an exact answer.(1 point)
Responses
5–√
start root 5 end root
−72–√
negative 7 start root 2 end root
14−−√
start root 14 end root
−14−−√
start negative root 14 end root
To multiply (7–√) and (−2–√), we can use the distributive property.
First, let's multiply the two terms without the square root:
7 * -2 = -14
Next, let's multiply the two square root terms:
-√ * -√ = √2 * √2 = 2
Now, we need to multiply the two terms with the square root:
(7 * -√) + (-2 * -√) = -7√ + 2√ = -5√
Putting all the parts together, the result is:
-14 - 5√
To multiply (7–√) and (−2–√), we can follow these steps:
1. Distribute the first term in the first expression across the second expression:
(7–√) * (−2–√) = 7 * (−2–√) – √ * (−2–√)
2. Simplify the multiplication using the distributive property:
= -14 – 7√ – √ * (−2–√)
3. Multiply the last term by both terms inside the second expression using the distributive property:
= -14 – 7√ + 2√ + √^2
4. Simplify the terms:
= -14 – 7√ + 2√ + 2
5. Combine like terms:
= -12 – 5√
Therefore, the exact answer to (7–√) * (−2–√) is -12 – 5√.