The complex number 7+9i represents which radical expression? A . 7+−3−−−√ B. 7−−9−−−√ C . 7+−9−−−√ D . 7+−81−−−−√
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Answer:
Simplify ( square root of 7+9i)( square root of 7-9i)
(
√
7
+
9
i
)
(
√
7
−
9
i
)
Expand
(
√
7
+
9
i
)
(
√
7
−
9
i
)
using the FOIL Method.
Tap for more steps...
√
7
√
7
+
√
7
(
−
9
i
)
+
9
i
√
7
+
9
i
(
−
9
i
)7
−
9
√
7
i
+
9
i
√
7
+
81
Add
7
and
81
.
−
9
√
7
i
+
9
i
√
7
+
88
Reorder the factors of
−
9
√
7
i
.
−
9
i
√
7
+
9
i
√
7
+
88
Add
−
9
i
√
7
and
9
i
√
7
.
0
+
88
Add
0
and
88
.
88
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