How do you simplify $sqrt(3x^5 )/ sqrt(8x²)$ ?

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Answer 1 · 2017-04-29T13:56:04

$(sqrt6)/4$

$(sqrt3x^5)/(sqrt8x^2)$

$:.=(sqrt(3*x*x*x*x*x ))/sqrt(2*2*2*x*x)$

$:.color(blue)(sqrtx xx sqrtx=x$

$:.color(blue)(sqrt2 xx sqrt2=2$

$:.=(x^2sqrt(3x))/(2x^2sqrt2)$

$:.=(sqrt(3x))/(2sqrt2)$

$:. color(blue)((2sqrt2)/(2sqrt2)=1/1$

$:.=(sqrt(3x))/(2sqrt2) xx (2sqrt2)/(2sqrt2)$

$:.color(blue)(sqrt2 xx sqrt2=2$

$:.=(cancel2sqrt6)/cancel8^4$

$:.color(blue)(=sqrt6/4$

check:

Let $x=1$

$(sqrt(3*1^5))/(sqrt(8*1^2))$

$color(blue)((sqrt(3))/(sqrt(8))=0.612372435$

and $color(blue)(sqrt6/4=0.612372435$

How do you simplify sqrt(3x^5 )/ sqrt(8x²)sqrt(3x^5 )/ sqrt(8x²)?