Multiply (√7) (−√2). Give an exact answer.(1 point)
Responses
−14−−√
negative start root 14 end root
5–√
start root 5 end root
14−−√
start root 14 end root
−72–√
negative 7 start root 2 end root
The correct answer is: negative start root 14 end root.
Divide 8√6/2. Provide an exact answer.(1 point)
Responses
83–√
8 start root 3 end root
43–√
4 start root 3 end root
This expression is already simplified and cannot be divided further.
This expression is already simplified and cannot be divided further.
46–√
The correct answer is: 4 start root 3 end root.
Divide 4√10/√2. Provide an exact answer. (1 point)
Responses
25–√
2 start root 5 end root
210−−√
2 start root 10 end root
45–√
4 start root 5 end root
This expression is already simplified and cannot be divided further.
This expression is already simplified and cannot be divided further.
The correct answer is: 2 start root 5 end root.
Simplify √300 (1 point)
Responses
103–√
10 start root 3 end root
This radical expression is already fully simplified.
This radical expression is already fully simplified.
1003–√
100 start root 3 end root
512−−√
5 start root 12 end root
The correct answer is: 10 start root 3 end root.
Simplify 13√27.(1 point)
Responses
This radical expression is already fully simplified.
This radical expression is already fully simplified.
163–√
16 start root 3 end root
393–√
39 start root 3 end root
39
39
To multiply (√7) and (-√2), we can follow these steps:
Step 1: Simplify the square roots
√7 can be written as √(7*1), so it becomes √7
-√2 can be written as -√(2*1), so it becomes -√2
Step 2: Multiply the simplified square roots
√7 * -√2 = √(7*2*1) = √14
Therefore, the exact answer to (√7) * (-√2) is √14.