Question

Simplifying this question.

Answer 1

\[\sqrt{4x + 9} = \sqrt{4x} +\sqrt{9}\]

Is this right? If so... Why can I solve it that way?

Answer 2

the whole problem \[\sqrt{4x + 9} = x + 3\]

Answer 3

\[(\sqrt{4x + 9})^{2} = ( x + 3) ^{2}\]

Answer 4

And simplify from there... But the first post I'm not sure about it! Can someone tell me why?

Answer 5

The first post of yours is NOT correct because,
consider this example,
\[\sqrt{4+9} = \sqrt{13}\]
which, if I follow your first post will become,
\[\sqrt{4+9} = \sqrt{4} + \sqrt{9} = 2 + 3 = 5\]
or if I do it like this,
\[\sqrt{4+9} = \sqrt{4+4+4+1} = \sqrt{4}+\sqrt{4}+\sqrt{4} +\sqrt{1} = 7\]

From this, since you can break the additions in and way, you would be having many impossible answers,
SO ONLY FIRST OF THE WAYS , THAT IS , \[\sqrt{13}\] IS THE CORRECT ONE...

Answer 6

*ANY* IN PLACE OF *AND*

Answer 7

Thanks!

Answer 8

My pleasure :-)