Question

multiply (radical 7) (-radical 2) give an exact answer.

A. radical 5
B. - radical 14
C. radical 14
D. -7 radical 2

Answer 1

To multiply \(\sqrt{7}\) and \(-\sqrt{2}\), we can follow these steps:

\[
\sqrt{7} \cdot (-\sqrt{2}) = -(\sqrt{7} \cdot \sqrt{2})
\]

Using the property of square roots, we can combine the radicals:

\[
\sqrt{7} \cdot \sqrt{2} = \sqrt{7 \cdot 2} = \sqrt{14}
\]

Thus, the multiplication becomes:

\[
-(\sqrt{14}) = -\sqrt{14}
\]

So the exact answer is \(-\sqrt{14}\), which corresponds to option B:

**B. - radical 14**