Adding and Subtracting Radical Expressions

Question

anonymous · Answer

Nakim simplified https://www.connexus.com/content/media/308520-6282011-124304-PM-1234612411/res0119/10_04_13a.gif and got https://www.connexus.com/content/media/308520-6282011-124304-PM-1234612411/res0119/10_04_13b.gif for an answer. Part 1: Using complete sentences, explain what Nakim did wrong. Part 2: Show all your work to simplify the expression.

anonymous · Answer

the link takes you to the equation and the answer Nakim got

aroub · Answer

Part 2: 

$$3\sqrt{2x}+x \sqrt{8x}-5\sqrt{18x}$$

$$3\sqrt{2x}+x \sqrt{2^2 \times 2x}-5\sqrt{3^2\times 2x}$$

$$3\sqrt{2x}+2x \sqrt{2x}-15\sqrt{2x}$$

$$= -12\sqrt{2x}+ 2x \sqrt{2x}$$

aroub · Answer

What do you think Nakim did wrong?

anonymous · Answer

I think that he combined the two together when you can't to get -10x sqrt of 2x

anonymous · Answer

thank you!!!!

aroub · Answer

Yes!!! No problemooo =)