Multiply and Divide Radicals Quick Check

Question

1 of 51 of 5 Items
Question
Multiply (√7) (-√2)
. Give an exact answer.(1 point)
Responses

√5
start root 5 end root

√−14
negative start root 14 end root

√−72
negative 7 start root 2 end root

√14
start root 14 end root

Answer 1

To multiply the radicals \( \sqrt{7} \) and \( -\sqrt{2} \), you perform the following steps:

1. Multiply the coefficients: \( 1 \times -1 = -1 \).
2. Multiply the radicands: \( 7 \times 2 = 14 \).
3. Combine the results: \( -\sqrt{14} \).

So the answer is:

\[ -\sqrt{14} \]

Thus, the correct response from the options given is:

√−14 negative start root 14 end root.