Lesson
Practice Problems
Simplify
\(\textbf{1)}\) \( \sqrt{24} \)
The answer is \( 2\sqrt{6} \)
\(\textbf{2)}\) \( \sqrt{48} \)
The answer is \( 4\sqrt{3} \)
\(\textbf{3)}\) \( \sqrt{120} \)
The answer is \( 2\sqrt{30} \)
\(\textbf{4)}\) \( \sqrt{32} \)
The answer is \( 4\sqrt{2} \)
\(\,\,\,\,\,\, \sqrt{32} \)
\(\,\,\,\,\,\, \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2} \)
\(\,\,\,\,\,\, \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2} \)
\(\,\,\,\,\,\, \sqrt{4 \cdot 4 \cdot 2} \)
\(\,\,\,\,\,\, \sqrt{4} \cdot \sqrt{4} \cdot \sqrt{2} \)
\(\,\,\,\,\,\, 2 \cdot 2 \cdot \sqrt{2} \)
\(\,\,\,\,\,\,\)The answer is \( 4\sqrt{2} \)
\(\textbf{5)}\) \( \sqrt{180} \)
The answer is \( 6\sqrt{5} \)
\(\,\,\,\,\,\, \sqrt{180} \)
\(\,\,\,\,\,\, \sqrt{2 \cdot 2 \cdot 3 \cdot 3 \cdot 5} \)
\(\,\,\,\,\,\, \sqrt{(2 \cdot 2) \cdot (3 \cdot 3) \cdot 5} \)
\(\,\,\,\,\,\, \sqrt{4 \cdot 9 \cdot 5} \)
\(\,\,\,\,\,\, \sqrt{4} \cdot \sqrt{9} \cdot \sqrt{5} \)
\(\,\,\,\,\,\, 2 \cdot 3 \cdot \sqrt{5} \)
\(\,\,\,\,\,\, 6 \sqrt{5} \)
\(\textbf{6)}\) \( \sqrt{360} \)
The answer is \( 6\sqrt{10} \)
\(\textbf{7)}\) \( \sqrt{75} \)
The answer is \( 5\sqrt{3} \)
![Link to Youtube Video Solving Question Number 7](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\textbf{8)}\) \( \sqrt{240} \)
The answer is \( 4\sqrt{15} \)
\(\textbf{9)}\) \( \sqrt{98} \)
The answer is \( 7\sqrt{2} \)
\(\textbf{10)}\) \( \sqrt{54} \)
The answer is \( 3\sqrt{6} \)
Challenge Problems
\(\textbf{11)}\) \( 2\sqrt{12}+5\sqrt{27} \)
The answer is \( 19\sqrt{3} \)
See Related Pages\(\)
