Question

If, √x:16=49:x^3/2 then find the x?

Answer 1

Answer:

Step-by-step explanation:

Given that,

   $\frac{\sqrt{x} }{16} = \frac{49}{x^{3/2} }$

     by cross multiplication we have,

    $\sqrt{x} * x^{3/2} = 16 * 49$

     $x^{1/2} x^{3/2} = 4^{2} * 7^{2}$

         $x^{\frac{1}{2} + \frac{3}{2} } = 28^{2}$

hence,   $x^{2} = 28^{2} \\\\ x = 28$