Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)
Question 1 Report
Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)
Answer Details
We can simplify the expression as follows:
\begin{align*}
\sqrt{20}\times (\sqrt{5})^3 &= \sqrt{(2\times2\times5)\times(5\times5\times5)} \\
&= \sqrt{(2\times5\times5\times2\times5\times5)} \\
&= \sqrt{(2^2\times5^2)\times(5^2)} \\
&= \sqrt{(2^2\times5^2\times5^2)} \\
&= \sqrt{(2^2\times5^4)} \\
&= 2\times5^2 \\
&= 50.
\end{align*}
Therefore, the answer is 50.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning