the value of √3√3√3√3......
upto infinity, is
(A) 3
(B) 3√3
(C)√ 3
(D) 9
Answers
Answer:
A) 3
Step-by-step explanation:
Let
a = √(3√(3√(3√(3 .......... Infinity ---- eq(1)
Squaring both sides
a² = 3 × √(3√(3√(3√(3 ..... Infinity
Substituting values from eq (1)
a² = 3a
a² - 3a = 0
a(a - 3) = 0
Hence,
a = 0
Which seems logical not possible as √(3√(3√(3√(3.... Infinity may have a value that is < 1 but not = 0
So, a - 3 = 0
a = 3
So answer will be A) 3
Hope this helps
Also I had reported the other two answers as there was no reason next time if you encounter such problem always report because you deserve your answer.
Answer:
option(A) is correct.
Step-by-step explanation:
Let
a = √(3√(3√(3√(3 …. Infinity ---- equation(1)
Squaring both sides
a² = 3 × √(3√(3√(3√(3 ….. Infinity
Substituting values from equation (1)
a² = 3a
a² - 3a = 0
a(a - 3) = 0
Hence,
a = 0
Which seems logical not possible as √(3√(3√(3√(3.... Infinity may have a value that is < 1 but not = 0
So, a - 3 = 0
a = 3
Therefore, option(A) is correct.