Why in these types of questions(the image) I need to multiply the dominator by itself and by the nominator. and why I can't just multiply it just by itself.

Why in these types of questionsthe image I need to multiply the dominator by itself and by the nominator and why I cant just multiply it just by itself class=

Respuesta :

Answer:

[tex]\frac{\sqrt{5x^{2} } }{\sqrt{3x^{3} } } =\sqrt{\frac{5}{3x} }[/tex]

Step-by-step explanation:

Simply because

[tex]A=\frac{5}{3} = \frac{5}{3}*\frac{3}{3} = \frac{15}{9} =\frac{5}{3}[/tex]

So its value remains Constant , It's simply as if you're multiplying by 1 which doesn't change anything at all

but when doing this

[tex]A=\frac{5}{3} = \frac{5}{3}*\frac{5}{3} = \frac{25}{9} \neq \frac{5}{3}\\[/tex]

You changed its value

[tex]A[/tex] now became [tex]A^{2}[/tex]

Hope you understand it