Question

Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0

Answer 1

Answer:

  $\sqrt{\frac{2x^{5} }{18} }$   = $\frac{\sqrt{x^{5} } }{3}$

Step-by-step explanation:

Given expression

            $\sqrt{\frac{2x^{5} }{18} }$

we know that the algebra formula

$\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }$

$\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }$

          = $\frac{\sqrt{x^{5} } }{3}$