anonymous
  • anonymous
Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anyone? please i dont understand
jim_thompson5910
  • jim_thompson5910
The expression is this right? \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\]
anonymous
  • anonymous
do you know how to solve it?

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More answers

jim_thompson5910
  • jim_thompson5910
first we need to simplify \(\Large \sqrt{45}\)
jim_thompson5910
  • jim_thompson5910
\[\large \sqrt{45}=\sqrt{9*5}\] \[\large \sqrt{45}=\sqrt{9}*\sqrt{5}\] \[\large \sqrt{45}=3\sqrt{5}\]
jim_thompson5910
  • jim_thompson5910
Notice how I factored it into 9*5 one of the factors is the largest perfect square factor possible
jim_thompson5910
  • jim_thompson5910
make sense?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
how would you simplify \(\Large \sqrt{28}\) ?
anonymous
  • anonymous
2 square root of 7
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
So \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\] turns into \[\large 3\sqrt{5}-2\sqrt{7}+3\sqrt{5}-2\sqrt{7}\]
jim_thompson5910
  • jim_thompson5910
from here combine like terms
anonymous
  • anonymous
ok
anonymous
  • anonymous
i dont really know how to do this part its confusing
jim_thompson5910
  • jim_thompson5910
if I gave you something like 3x+7y+2x+10y, would you be able to combine like terms?
anonymous
  • anonymous
yes
anonymous
  • anonymous
it would be 5x + 17y right?
jim_thompson5910
  • jim_thompson5910
yes that's correct
jim_thompson5910
  • jim_thompson5910
you'll use the same idea
jim_thompson5910
  • jim_thompson5910
let x = sqrt(5) and y = sqrt(7) \[\large 3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}+3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}\] \[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\]
anonymous
  • anonymous
ok
jim_thompson5910
  • jim_thompson5910
simplify `3x-2y+3x-2y` to get ???
anonymous
  • anonymous
6x-y?
jim_thompson5910
  • jim_thompson5910
6x is correct -y is not
anonymous
  • anonymous
ok
jim_thompson5910
  • jim_thompson5910
try again
anonymous
  • anonymous
what would the answer be?
jim_thompson5910
  • jim_thompson5910
-2y-2y is -4y, agreed?
jim_thompson5910
  • jim_thompson5910
\[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\] \[\large 6\color{red}{x}-4\color{blue}{y}\] \[\large 6\color{red}{\sqrt{5}}-4\color{blue}{\sqrt{7}}\]
jim_thompson5910
  • jim_thompson5910
So, \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} = 6\sqrt{5}-4\sqrt{7}\]
anonymous
  • anonymous
ok thank a lot
anonymous
  • anonymous
can you help me with this one please? if you want to. Which statement is true about the difference 2 square root of 7 − square root of 28?
jim_thompson5910
  • jim_thompson5910
\[2\sqrt{7} - \color{red}{\sqrt{28}} = 2\sqrt{7} - \color{red}{2\sqrt{7}} = 0\sqrt{7} = 0\]

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