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
Admit Card Date:
18 Nov, 2024
- 25 Nov, 2024
Mains Exam
Admit Card Date:
23 Nov, 2024
- 30 Nov, 2024
Admit Card Date:
21 Nov, 2024
- 6 Dec, 2024
Mains Exam
Exam Date:
14 Dec, 2024
- 14 Dec, 2024
Exam Date:
19 Dec, 2024
- 29 Dec, 2024
