Question

Hi? rac{x}{y} " alt=" \sqrt{x} \frac{x}{y} " align="absmiddle" class="latex-formula">

Answer 1

The simplified answer is:  " x⁽³/²⁾ / y " ;  or, write as:  "  ∛(x²) / y " .
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√x  * ($\frac{x}{y}$  =

(x⁽¹/²⁾ * x) / y ;  Since:  {√x = x⁽¹/²⁾ }.


Consider the numerator:
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x⁽¹/²⁾ * x  ;
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x⁽¹/²⁾ * x = x⁽¹/²⁾ * x¹ =x⁽¹ ¹/²⁾ ⁺ ⁽¹⁾ = x⁽¹ ¹/²⁾ / y =
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         x⁽³/²⁾ / y ;  or, write as:  ∛(x²) / y .
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