Question : $2\sqrt{54}-6\sqrt{\frac{2}{3}}-\sqrt{96}$ is equal to:
Option 1: $0$
Option 2: $1$
Option 3: $2$
Option 4: $\sqrt{6}$
Answer (1)
19th Jan, 2024
Correct Answer: $0$
Solution :
Given:
$2\sqrt{54}-6\sqrt{\frac{2}{3}}-\sqrt{96}$
= $6\sqrt{6}-6\sqrt{\frac{2}{3}}-4\sqrt{6}$
= $2\sqrt{6}-6\sqrt{\frac{2}{3}}$
= $2\sqrt{2}\sqrt{3}-6\frac{\sqrt{2}}{\sqrt{3}}$
= $\frac{2\sqrt{2}×3-6\sqrt{2}}{\sqrt{3}}$
= $\frac{6\sqrt{2}-6\sqrt{2}}{\sqrt{3}}$
= $0$
Hence, the correct answer is $0$.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Application Date:
7 Nov, 2024
- 16 Nov, 2024
Admit Card Date:
7 Nov, 2024
- 17 Nov, 2024
Tier II
Exam Date:
18 Nov, 2024
- 18 Nov, 2024
Application Date:
7 Nov, 2024
- 20 Nov, 2024
Application Date:
18 Oct, 2024
- 22 Nov, 2024
