Luna Bond
05/24/2023 · Primary School
\( \begin{array}{ll}\text { c) } \sqrt{(-36) \cdot(-81)} & \text { d) } \\ \text { g) } \sqrt{(-1,21) \cdot(-81)} & \text { h) } \\ \text { k) } \sqrt{\left(-\frac{1}{81}\right) \cdot\left(-\frac{1}{169}\right)} & \text { l) }\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Um die angegebenen Ausdrücke zu berechnen, verwenden wir die Eigenschaft der Quadratwurzel, dass \(\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}\), und dass die Quadratwurzel einer negativen Zahl nicht definiert ist, wenn wir im Bereich der reellen Zahlen bleiben.
Hier sind die Berechnungen für die angegebenen Ausdrücke:
c) \(\sqrt{(-36) \cdot (-81)}\)
\[
\sqrt{(-36) \cdot (-81)} = \sqrt{36 \cdot 81} = \sqrt{2916} = 54
\]
g) \(\sqrt{(-1,21) \cdot (-81)}\)
\[
\sqrt{(-1,21) \cdot (-81)} = \sqrt{1,21 \cdot 81} = \sqrt{98,01} = 9,9
\]
k) \(\sqrt{\left(-\frac{1}{81}\right) \cdot \left(-\frac{1}{169}\right)}\)
\[
\sqrt{\left(-\frac{1}{81}\right) \cdot \left(-\frac{1}{169}\right)} = \sqrt{\frac{1}{81} \cdot \frac{1}{169}} = \sqrt{\frac{1}{13689}} = \frac{1}{117}
\]
Zusammenfassend:
- c) \(54\)
- g) \(9,9\)
- k) \(\frac{1}{117}\)
Quick Answer
c) \(54\)
g) \(9,9\)
k) \(\frac{1}{117}\)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit