james1769
  • james1769
need help will medal and fan
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
james1769
  • james1769
simplify
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anonymous
  • anonymous
what have you done so far?

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james1769
  • james1769
i have tried every way to understand this question but nothing wrks
anonymous
  • anonymous
so if i had squareroot of 9 could this be simplified?|dw:1450386017855:dw|
james1769
  • james1769
yeah by 3
anonymous
  • anonymous
perfect squares can be simplified such as above = 3 so if i take one part of your 1st problem |dw:1450386191785:dw|
james1769
  • james1769
okay
anonymous
  • anonymous
first simply the squareroots then see if you have like terms inside the squareroots ...otherwise it is simplified
james1769
  • james1769
so my answer is either b or c?
james1769
  • james1769
would it be b?
james1769
  • james1769
@mathmale is my answer correct?
mathmale
  • mathmale
Please show how you got your final answer. "b or c" doesn't tell me much about yoru thinking process.
mathmale
  • mathmale
\[\sqrt{24}-3\sqrt{45}+2\sqrt{20}\]
james1769
  • james1769
well i know 5 can go into both
mathmale
  • mathmale
As previously pointed out by another person, 24 can be factored. the largest factor in 24 which is ALSO a perfect square is 4. Now focus on Sqrt(45). Factor it. What is the largest perfect square factor of 45? Now, Sqrt(20). What is the largest perfect square factor of 20?
james1769
  • james1769
sqrt(45) is 9x5
mathmale
  • mathmale
Actually, James, Sqrt(45) is Sqrt(9)*Sqrt(5). Please reduce this as much as possible.
james1769
  • james1769
so my answer is 2 sqrt(6) -2 sqrt(5)?
mathmale
  • mathmale
You're on track, partially, but more work is needed. Please let's not try to save time, but rather get this problem done correctly, so that you will understand the procedure. Can you simplify Sqrt(27)?
mathmale
  • mathmale
sorry, that's Sqrt (24) (not 27).
james1769
  • james1769
6x4,12x2,8x3
james1769
  • james1769
12x2 is the largest factor
mathmale
  • mathmale
6*4 is fine as factors of 24. The next radicand is 45; neighther 12 nor 2 is a perfects quare. I understand your reasoning (12 is the largest factor), but had asked y ou to identify the largest perfect square factor.
james1769
  • james1769
oh okay
mathmale
  • mathmale
Perfect squares include 1, 4, 9, 16, 25, 36, and so on. Simplify Sqrt(45), please.
james1769
  • james1769
9x5
mathmale
  • mathmale
Sqrt(45)=Sqrt( ? * ? ) 9 and 5 are correct, but you have to include the Sqrt operator in every term. Sqrt(45)= ?
james1769
  • james1769
sqrt(9)(5) ^ (3x3)
mathmale
  • mathmale
9 is a perfect square, so Sqrt(9) is 3, as you say. But 5 is not a perfect square, so you must leave Sqrt(5) as is. Therefore, the correct way to write Sqrt(45) is 3Sqrt(5). Any questions about that?
james1769
  • james1769
yes that does not match up with any of my answer options
mathmale
  • mathmale
You're trying to save time again. We have to go thru this step by step. Please be patient. the first term is Sqrt(24), and that boils down to 2Sqrt(6). right?
james1769
  • james1769
yes
mathmale
  • mathmale
The next term is 3Sqrt(45). As discussed before, that Sqrt(45) comes out to 3Sqrt(5). So, 3*3*Sqrt(5) = ?
anonymous
  • anonymous
he still has another term to work 2 squareroot of 20 to simplify
mathmale
  • mathmale
Yes, I know that. Been working on this for half an hour. But thanks for your input.
mathmale
  • mathmale
James, 3*3Sqrt(5) comes out to 9Sqrt(5). Showing the first 2 terms only, we get\[2\sqrt{6}-9\sqrt{5}\]
mathmale
  • mathmale
Last term is 2Sqrt(20). Simplify that, please.
james1769
  • james1769
20 = 4x5 so then (2x2)(5)
mathmale
  • mathmale
Actually, it'd be \[4\sqrt{5}\]
mathmale
  • mathmale
Now write out the entire solution. Copy the first two terms down first, and then include this very last term that we've just found.
james1769
  • james1769
2sqrt(6) - 4sqrt(5)?
mathmale
  • mathmale
Yes, but what about that -9Sqrt(5) in the middle?
james1769
  • james1769
2sqrt(6) -9sqrt(5)+ 4sqrt(5
mathmale
  • mathmale
\[2\sqrt{6}-9\sqrt{5}+4\sqrt{5}\]
mathmale
  • mathmale
How would you simplifiy that?
james1769
  • james1769
so combine like terms and u get 2sqrt(6)-5sqrt(5) right??
james1769
  • james1769
thnks for the help guys
james1769
  • james1769
and now gal

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