Simplify the expression. x times the square root of the quantity 64 x cubed, plus 2 x times the square root of x, plus 8 times the square root of the quantity 2 x If the simplified expression is written in standard form, what is the leading coefficient?
hold on I'm doing it lol
\[\Large x \sqrt{64x^3} + 2x \sqrt{x} + 8 \sqrt{2x}\]?
\[x \sqrt{64x^3} + 2x \sqrt{x} + 8\sqrt{2x}\]
This will help you get started\[\Large x \sqrt{64} \sqrt{x^3} + 2x \sqrt{x} + 8 \sqrt{2x}\]x^3 is x^2x:\[\Large x \sqrt{64} \sqrt {x^2 \times x} + 2x \sqrt{x} + 8 \sqrt{2x}\] \[\Large x \sqrt{64} \sqrt {x^2 }\sqrt{x} + 2x \sqrt{x} + 8 \sqrt{2x}\]
x 8 sqrt x^2 sqrt x + 2x sqrt x + 8 sqrt 2x
So now you have\[\Large 8x \sqrt {x^2 }\sqrt{x} + 2x \sqrt{x} + 8 \sqrt{2x}\] and what's the sqrt of x^2?
2x
Remember we went over this a few days ago. Sqrt of 4^2 is 4. Sqrt of 2^2 is 2. Sqrt of x^2 is...
oh x
\[\Large 8x \times x\sqrt{x} + 2x \sqrt{x} + 8 \sqrt{2x}\]
now what do I do?
Simplify that, and combine like terms
x times x is...?
2x
x + x is 2x. x*x is not 2x. 4*4 = 16, which is the same as 4^2. x*x = ?
x^2
I think I got it tell me if im right, 16x x 2x+3x 16x x 5x 21x?
that's not right. it has to be one of the choices above :(
are you gonna help me @agent0smith ?
Sorry, i gotta go.
thanks for the help :(
\[\Large 8x ^2\sqrt{x} + 2x \sqrt{x} + 8 \sqrt{2x}\]
@jaderbrown still need to finish this...?
You can simplify a bit more depending on the answer choices
I tried to do it a few hours ago but I don't know if I got the right answer
and I don't remember what I put in for the answer
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