Question

root 5 root 5 root 5 and so on

Answer 1

heay your ans. and its solution

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Answer 2

Concept Introduction:

We can write $\sqrt{5\sqrt{5\sqrt{5.........} } }$$=\sqrt{5x}$

Given: $\sqrt{5\sqrt{5\sqrt{5.........} } }$

To Find:

We have to find the value of,  $\sqrt{5\sqrt{5\sqrt{5.........} } }$

Solution:

According to the problem,

Let, x= $\sqrt{5\sqrt{5\sqrt{5.........} } }$

$\sqrt{5\sqrt{5\sqrt{5.........} } }$$=\sqrt{5x}$

⇒$x=\sqrt{5x}$

Squaring both sides:

$x^{2} =5x$

∴$x=5$

Final Answer:

The value of x is $5$.

#SPJ2