need help will medal and fan

- james1769

need help will medal and fan

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- james1769

simplify

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- james1769

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- anonymous

what have you done so far?

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## More answers

- james1769

i have tried every way to understand this question but nothing wrks

- anonymous

so if i had squareroot of 9 could this be simplified?|dw:1450386017855:dw|

- james1769

yeah by 3

- anonymous

perfect squares can be simplified such as above = 3 so if i take one part of your 1st problem |dw:1450386191785:dw|

- james1769

okay

- anonymous

first simply the squareroots then see if you have like terms inside the squareroots ...otherwise it is simplified

- james1769

so my answer is either b or c?

- james1769

would it be b?

- james1769

@mathmale is my answer correct?

- mathmale

Please show how you got your final answer. "b or c" doesn't tell me much about yoru thinking process.

- mathmale

\[\sqrt{24}-3\sqrt{45}+2\sqrt{20}\]

- james1769

well i know 5 can go into both

- 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

sqrt(45) is 9x5

- mathmale

Actually, James, Sqrt(45) is Sqrt(9)*Sqrt(5). Please reduce this as much as possible.

- james1769

so my answer is 2 sqrt(6) -2 sqrt(5)?

- 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

sorry, that's Sqrt (24) (not 27).

- james1769

6x4,12x2,8x3

- james1769

12x2 is the largest factor

- 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

oh okay

- mathmale

Perfect squares include 1, 4, 9, 16, 25, 36, and so on.
Simplify Sqrt(45), please.

- james1769

9x5

- mathmale

Sqrt(45)=Sqrt( ? * ? ) 9 and 5 are correct, but you have to include the Sqrt operator in every term.
Sqrt(45)= ?

- james1769

sqrt(9)(5)
^
(3x3)

- 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

yes
that does not match up with any of my answer options

- 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

yes

- mathmale

The next term is 3Sqrt(45). As discussed before, that Sqrt(45) comes out to 3Sqrt(5).
So, 3*3*Sqrt(5) = ?

- anonymous

he still has another term to work 2 squareroot of 20 to simplify

- mathmale

Yes, I know that. Been working on this for half an hour. But thanks for your input.

- 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

Last term is 2Sqrt(20). Simplify that, please.

- james1769

20 = 4x5 so then (2x2)(5)

- mathmale

Actually, it'd be \[4\sqrt{5}\]

- 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

2sqrt(6) - 4sqrt(5)?

- mathmale

Yes, but what about that -9Sqrt(5) in the middle?

- james1769

2sqrt(6) -9sqrt(5)+ 4sqrt(5

- mathmale

\[2\sqrt{6}-9\sqrt{5}+4\sqrt{5}\]

- mathmale

How would you simplifiy that?

- james1769

so combine like terms and u get 2sqrt(6)-5sqrt(5) right??

- james1769

thnks for the help guys

- james1769

and now gal

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