How can I simplify $(2n)/(4n^(1/2))$ ?

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Answer 1 · 2015-12-14T00:01:03

$sqrtn/2$

First, simplify the constants.

$n/(2n^(1/2))$

Now, use the rule that $a^b/a^c=a^(b-c)$ .

Therefore, $n/(2n^(1/2))=n^1/(2n^(1/2))=n^(1-1/2)/2=n^(1/2)/2$ .

Note that $n^(1/2)=sqrtn$ , so the expression can also be written as $sqrtn/2$ .

How can I simplify (2n)/(4n^(1/2))(2n)/(4n^(1/2))?