How do you simplify $\sqrt{\frac{x^{4} y^{3}}{144}}$ $sqrt((x^4y^3)/144)$ ?

Question

How do you simplify $\sqrt{\frac{x^{4} y^{3}}{144}}$ $sqrt((x^4y^3)/144)$ ?

1 Answer

Impact of this question

1763 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-09T07:32:48

$\sqrt{\frac{x^{4} y^{3}}{144}}$ $color(red)(sqrt((x^4y^3)/144)$

$= \sqrt{\frac{{(x^{2})}^{2} \cdot y^{2} \cdot y}{12^{2}}}$ $= sqrt(((x^2)^2*y^2*y)/12^2)$

In general,

$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$ $sqrt(a*b) = sqrta * sqrt b$
and
$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$ $sqrt(a/b) = sqrt a/ sqrt b$

So the expression will equal

$= \frac{\sqrt{{(x^{2})}^{2}} \cdot \sqrt{y^{2}} \cdot \sqrt{y}}{\sqrt{12^{2}}}$ $= (sqrt((x^2)^2)*sqrt(y^2)*sqrty)/(sqrt(12^2))$

$= \frac{x^{2} \cdot y \cdot \sqrt{y}}{12}$ $= (x^2*y*sqrty)/(12)$

$= (\frac{x^{2} \cdot y}{12}) \cdot \sqrt{y}$ $= color(green)( ((x^2*y)/12)*sqrt y$

Science

Math

Humanities

... and beyond

How do you simplify $\sqrt{\frac{x^{4} y^{3}}{144}}$ $sqrt((x^4y^3)/144)$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify sqrt((x^4y^3)/144)√x4y3144sqrt((x^4y^3)/144)?

1 Answer

Related questions

Impact of this question

How do you simplify $\sqrt{\frac{x^{4} y^{3}}{144}}$ $sqrt((x^4y^3)/144)$ ?