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If $$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$ then the value of x is
$$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$.
here we know that $$\sqrt{b} \times \sqrt{b}$$ = b
and $$\sqrt{a^3} = a\sqrt{a}$$
hence,$$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$ = $$a^2\sqrt b\sqrt[4]{a}$$
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