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.

Question

asked Jun 25, 2022 116k views

1 Answer

Christopher Nolan · Answer 1 · 2022-06-29T04:34:29+0000

Answer:

$\frac{\sqrt{5x^(2) } }{\sqrt{3x^(3) } } =\sqrt{(5)/(3x) }$

Explanation:

Simply because

A=(5)/(3) = (5)/(3)*(3)/(3) = (15)/(9) =(5)/(3)

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

$A=(5)/(3) = (5)/(3)*(5)/(3) = (25)/(9) \\eq (5)/(3)\\$

You changed its value

now became
A^(2)

Hope you understand it