anonymous
  • anonymous
Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer. Part 1: Using complete sentences, explain what Nakim did wrong. Part 2: Show all your work to simplify the expression. (You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
can someone please help me I am trying to finish my online course with an a and am stuck on this problem
anonymous
  • anonymous
@Jim766 please help
Jim766
  • Jim766
\[3\sqrt{2x}+x \sqrt{8x}-5\sqrt{18x}\] sorry I screwed the 1st one up..lol does this look right?

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anonymous
  • anonymous
I think so I tried to figure it out but I have learning problems lol
Jim766
  • Jim766
lol...let see if we can figure it out. we need to simplify each term if we can inside the radicals, I am looking for factors that are perfect squares, so when I square root them I get a number
Jim766
  • Jim766
\[3\sqrt{2x}+x \sqrt{4*2*x}-5\sqrt{9*2*x}\] the perfect squares are 4 and 9
Jim766
  • Jim766
\[3\sqrt{2x}+2*x \sqrt{2x}-5*3\sqrt{2x}\] when I take the sq root of the 4 and 9, I get this
Jim766
  • Jim766
\[3\sqrt{2x}+2x \sqrt{2x}-15\sqrt{2x}\] now that all the sq rts are the same I can combine like terms
Jim766
  • Jim766
\[3 -15+2x \sqrt{2x}\] \[-12 + 2x \sqrt{2x}\]
Jim766
  • Jim766
now that is the correct answer, but they got \[-10x \sqrt{2x}\] any idea what they did wrong?
Jim766
  • Jim766
they took -12 + 2x and got -10, you cant do that because they are not like terms, you cant combine them. that is why the correct answer leaves them separated. Does that help any?
anonymous
  • anonymous
yes thank-you so like can you write it in the way of the question I cant get it right
Jim766
  • Jim766
3sqrt(2x) +xsqrt(8x) - 5sqrt(18x) 3sqrt(2x) +2xsqrt(2x) - 15sqrt(2x) (-12+2x)sqrt(2x) this is simplified
anonymous
  • anonymous
thank-you soooooooo much!!!!!!

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