In Exercises $29-44,$ perform the indicated operations and write the result in standard form. $$5 \sqrt{-16}+3 \sqrt{-81}$$
Added by Pablo F.
Step 1
First, we simplify the square roots: $$5\sqrt{-16}+3\sqrt{-81}=5\sqrt{-1\cdot16}+3\sqrt{-1\cdot81}=5i\sqrt{16}+3i\sqrt{81}=5i\cdot4+3i\cdot9=20i+27i=47i$$ Show more…
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