Question

$\sqrt{x \sqrt{x \sqrt{x} } }$
what is the answer of this?
maths questions
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Answer 1

$\sf \sqrt{x \sqrt{x \sqrt{x} } } \\ \\ = \sf\sqrt{ \sqrt[4]{ {x}^{4} } \sqrt{ \sqrt{ {x}^{2} } \sqrt{x} } } \\ \\ = \sf \: \sqrt{ \sqrt[4]{ {x}^{4} } \sqrt{ \sqrt{ {x}^{2} \times x} } } \\ \\ = \sf \sqrt{ \sqrt[4]{ {x}^{4} } \sqrt{ \sqrt{ {x}^{3} } } } \\ \\ = \sf \sqrt{ \sqrt[4]{{x}^{4} } \sqrt[4]{ {x}^{3} } } \\ \\ = \sf \sqrt{ \sqrt[4]{ {x}^{4} \times {x}^{3} } } \\ \\ = \sf \sqrt{ \sqrt[4]{ {x}^{7} } } \\ \\ = \sf \sqrt[8]{ {x}^{7} } \: \: \: \: \sf is \: solution$