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liq [111]
3 years ago
13

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

Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0

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}

insens350 [35]3 years ago
3 0

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

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