Question : The value of $\sqrt{3\sqrt{3\sqrt{3......}}}$ is equal to:
Option 1: $\sqrt{3}$
Option 2: $3$
Option 3: $2\sqrt{3}$
Option 4: $3\sqrt{3}$
Answer (1)
24th Jan, 2024
Correct Answer: $3$
Solution :
Given: $\sqrt{3\sqrt{3\sqrt{3......}}}$
Let $x = \sqrt{3\sqrt{3\sqrt{3......}}}$
$ ⇒ x = \sqrt{3x}$
By squaring both sides, we get:
$ ⇒ x^{2} = 3x$
$ ⇒ x = 3$
Hence, the correct answer is $3$.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Thank You!
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Exam Date:
30 Sep, 2024
- 14 Nov, 2024
Application Date:
23 Sep, 2024
- 15 Nov, 2024
Tier II
Exam Date:
18 Nov, 2024
- 18 Nov, 2024
Mains Exam
Exam Date:
30 Nov, 2024
- 30 Nov, 2024
Mains Exam
Exam Date:
14 Dec, 2024
- 14 Dec, 2024
