How do you simplify $\frac{2 \sqrt{5 x}}{\sqrt{25 x^{2}}}$ $(2sqrt(5x))/sqrt(25x^2)$ ?

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Answer 1 · 2017-03-29T03:01:34

See the solution process below:

We can rewrite this expression as:

$\frac{2 \sqrt{5 x}}{\sqrt{5 x} \sqrt{5 x}}$ $(2sqrt(5x))/(sqrt(5x)sqrt(5x))$

We can next cancel common terms in the numerator and denominator:

$(2color(red)(cancel(color(black)(sqrt(5x)))))/(color(red)(cancel(color(black)(sqrt(5x)))sqrt(5x))) =>$

$2/sqrt(5x)$

Now we can rationalize the denominator by multiplying the fraction by the appropriate form of 1:

$sqrt(5x)/sqrt(5x) xx 2/sqrt(5x) =>$

$(sqrt(5x) xx 2)/(sqrt(5x) xx sqrt(5x)) =>$

$(2sqrt(5x))/(5x)$

How do you simplify (2sqrt(5x))/sqrt(25x^2)2√5x√25x2(2sqrt(5x))/sqrt(25x^2)?