Question

Root 3 multiple root3 upto infinity

Answer 1

The correct answer would be 0 or 3.

Only 3 is wrong. Correct it for the above written answer.

Step-by-step explanation:

Now,

y = √(3y)

After taking square on both sides:

y2 = 3y

y2 – 3y = 0

y(y – 3) = 0

y = 0 or 3

Answer 2

Answer: Value of series is 0 or 3.

Concept : Series

Given :  $\sqrt{3 * \sqrt{3 * \sqrt{3 * ............} } }$

To Find : Value of the series

Step-by-step explanation:

The given series is :  $\sqrt{3 * \sqrt{3 * \sqrt{3 * ............} } }$

Let y = $\sqrt{3 * \sqrt{3 * \sqrt{3 * ............} } }$

∴ $y = \sqrt{3y}$

Squaring both sides :

⇒ $y^{2} = 3y$

⇒ $y^{2} - 3y = 0$

⇒ y(y - 3) = 0

∴ y = 0 or 3

#SPJ2