Question

if x is a positive integer, which expression is equivalent to 4SqrRoot x^3 over 5SqrRoot x^2? Assume x > 0

Answer 1

Answer:

The given expression  $\frac{4\sqrt{x^3}}{5\sqrt{x^2} }$ is equivalent to $\frac{4{\sqrt{x}}}{5}$

Step-by-step explanation:

Given: if x is a positive integer then given expression $\frac{4\sqrt{x^3}}{5\sqrt{x^2} }$

We have to write an equivalent fraction to the given expression $\frac{4\sqrt{x^3}}{5\sqrt{x^2} }$

Consider the given expression $\frac{4\sqrt{x^3}}{5\sqrt{x^2} }$

Rewrite $\sqrt{x^3}=\sqrt{x^2} \sqrt{x}$

We get,

$\frac{4\sqrt{x^2}{\sqrt{x}}}{5\sqrt{x^2}}$

Canceling $\sqrt{x^2}$ term, we get,

$\frac{4{\sqrt{x}}}{5}$

Thus, The given expression  $\frac{4\sqrt{x^3}}{5\sqrt{x^2} }$ is equivalent to $\frac{4{\sqrt{x}}}{5}$

Answer 2

Answer list is a) 20√7 b)x(20√x+3) c)6√x^5/x^2 d)x^3(6√x^5 I want some help with this as well