Questions

If $x > 0$ , then $\sqrt{x \sqrt{x \sqrt{x \dots \infty}}} =$

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ctaimg

a

x

b

x^{2}

c

2 x

d

\frac{x}{2}

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detailed solution

Correct option is A

Suppose, $k = \sqrt{x \sqrt{x \sqrt{x \dots \infty}}}$

$k = \sqrt{x . k}$

$k^{2} = x k$

$k (k - x) = 0$

$k = 0 (or) k = x$

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