Olson Carter
10/22/2023 · Elementary School
Question 8 Multiply and simplify the expression \( \sqrt{-5} \sqrt{-80} \). Write the result in the form \( a+b i \).
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sqrt(-5)*\sqrt(-80) \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{-5}\times \sqrt{-80}\)
- step1: Simplify the root:
\(\sqrt{5}\times i\sqrt{-80}\)
- step2: Simplify the root:
\(\sqrt{5}\times i\times 4\sqrt{5}\times i\)
- step3: Calculate:
\(\sqrt{5}\times 4\sqrt{5}\times i^{2}\)
- step4: Rewrite the expression:
\(\sqrt{5}\times 4\sqrt{5}\times \left(-1\right)\)
- step5: Calculate:
\(-20\)
The result of multiplying and simplifying the expression \( \sqrt{-5} \sqrt{-80} \) is \( -20 \).
Quick Answer
The result is \( -20 \).
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