Hello! I have a question!
How does this: sqrt of (x^2-8x+16+9/16x^2)
simplify to this: sqrt of (25/16x^2-8x+16)
???
Where the heck did the 25 come from?
Thanks!

Question

Hello! I have a question!
How does this: sqrt of (x^2-8x+16+9/16x^2) 
simplify to this: sqrt of (25/16x^2-8x+16) 
???
Where the heck did the 25 come from? 
Thanks!

anonymous · Answer

$$\sqrt{x^2-8x+16+(9/16)x^2}  > \sqrt{(25/16)x^2-8x+16}$$

anonymous · Answer

Just wanted to make it clearer for everyone to see. How the heck does it get from that to that???

anonymous · Answer

x^2 + (9/16)x^2 = (16/16)x^2 + (9/16)x^2 = (16/16 + 9/16)x^2 = (25/16)x^2

anonymous · Answer

Oh my god...thank you so much! That was so stupid of me! Thank you!