Simplify \(4\sqrt{27} + 5\sqrt{12} - 3\sqrt{75}\)
Question 1 Report
Simplify \(4\sqrt{27} + 5\sqrt{12} - 3\sqrt{75}\)
Answer Details
Let's simplify each term first:
- √27 can be simplified as √(3^3), which equals 3√3.
- √12 can be simplified as √(2^2 × 3), which equals 2√3.
- √75 can be simplified as √(3 × 5^2), which equals 5√3.
Substituting these simplifications into the original expression, we get:
427(3√3) + 512(2√3) - 375(5√3)
Simplifying the coefficients of √3, we get:
1281√3 + 1024√3 - 1875√3
Combining like terms, we get:
330√3
Therefore, the simplified expression is 330√3. Answer: 73" tabindex="0" class="mjx-chtml MathJax_CHTML" id="MathJax-Element-38-Frame">√3 divided by 3.
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