iwanttogotostanford
  • iwanttogotostanford
HELP ASAP ACT MATH EASY: sqr root 147- sqr root48
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
iwanttogotostanford
  • iwanttogotostanford
forgot how to do this simple math!
iwanttogotostanford
  • iwanttogotostanford
|dw:1450152358062:dw|
iwanttogotostanford
  • iwanttogotostanford
sorry for bad drawing

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More answers

iwanttogotostanford
  • iwanttogotostanford
@satellite73 @pooja195
iwanttogotostanford
  • iwanttogotostanford
@mathmale
mathmale
  • mathmale
what are the instructions for the problem? "combine?" "add?" subtract?
iwanttogotostanford
  • iwanttogotostanford
subtract
mathmale
  • mathmale
\[\sqrt{147}-\sqrt{48}\]
iwanttogotostanford
  • iwanttogotostanford
correct
mathmale
  • mathmale
Neither 147 nor 48 is a perfect square, so if you evaluate this difference, your result will have a fraction. is that OK? If not, then what have you seen in class or online that gives you a clue regarding what form your result should have?
iwanttogotostanford
  • iwanttogotostanford
ok
iwanttogotostanford
  • iwanttogotostanford
it is a practice question for a test I have an dhat is all the info they gave
mathmale
  • mathmale
Are you allowed to use a calculator on this test?
iwanttogotostanford
  • iwanttogotostanford
no
mathmale
  • mathmale
There's not a lot you can do, then, other than to ESTIMATE the values of each of the 2 square roots. what is the square root of 144? of 49?
iwanttogotostanford
  • iwanttogotostanford
12 and 7
mathmale
  • mathmale
right. Now, the next larger perfect square is 169. The sq. rt. of that is 13. So, suggest what might be a good approx. to Sqrt(147).
iwanttogotostanford
  • iwanttogotostanford
my choices are as follows: 2sqrroot3, 3sqrroot3, 3, and 11 sq. root 3
mathmale
  • mathmale
Obviously it's between 12 and 13, since 147 is between 144 and 169.
iwanttogotostanford
  • iwanttogotostanford
yes
mathmale
  • mathmale
I didn't realize you had answer choices. Please, next time post them at the beginning.
iwanttogotostanford
  • iwanttogotostanford
ok
mathmale
  • mathmale
So our task now is to try to factor 147 and then 48 hopefully obtaining at least one perfect square factor in each case. 48 is pretty easy. 48 = 16 times what?
iwanttogotostanford
  • iwanttogotostanford
3
mathmale
  • mathmale
Yes, so 48 = 16 * 3. Is or is not 16 a perfect square?
iwanttogotostanford
  • iwanttogotostanford
yes it is
mathmale
  • mathmale
OK. That means that Sqrt(48) reduces to Sqrt(16*3)=Sqrt(16)*Sqrt(3). Can you write that in symbols, please, in simplest form?
iwanttogotostanford
  • iwanttogotostanford
in symbols?
mathmale
  • mathmale
For example,
iwanttogotostanford
  • iwanttogotostanford
6.9=4x1.7
mathmale
  • mathmale
\[\sqrt{48}=\sqrt{3}*\sqrt{16}=4\sqrt{3}\]
mathmale
  • mathmale
those are the symbols I was asking for.
mathmale
  • mathmale
Now look at 147. Can 147 be factored?
iwanttogotostanford
  • iwanttogotostanford
yes i believe so
iwanttogotostanford
  • iwanttogotostanford
3 and 49
mathmale
  • mathmale
Please factor it as far as possible.
mathmale
  • mathmale
So you're saying that 147 factors into 3 and 49? Nice. I didn't see that myself. Can you finish this?\[\sqrt{147}=\sqrt{?}\sqrt{?}=?\]
mathmale
  • mathmale
The Name of the Game here is "Find the largest perfect square that divides into 147 with no remainder."
iwanttogotostanford
  • iwanttogotostanford
Im not sure what it is at this point
iwanttogotostanford
  • iwanttogotostanford
i thought 3 and 49 were fine
mathmale
  • mathmale
\[\sqrt{49}=?\]
mathmale
  • mathmale
Hint: Make a table of perfect squares and their square roots. 1 4 9 16 25 1 2 3 4 5
mathmale
  • mathmale
What are the next couple of perfect squares after 25?
iwanttogotostanford
  • iwanttogotostanford
sqr root 49= 7
iwanttogotostanford
  • iwanttogotostanford
6 times 6 is 36
mathmale
  • mathmale
that's right. So\[\sqrt{147}=\sqrt{49}\sqrt{3}=?\]
iwanttogotostanford
  • iwanttogotostanford
3 sqr root 7
mathmale
  • mathmale
We'll need to re-arrange that a bit. Does 7 stand by itself, or do we want its square root? Same question for 3.
iwanttogotostanford
  • iwanttogotostanford
7 sqr root 3
mathmale
  • mathmale
better.
iwanttogotostanford
  • iwanttogotostanford
ok
mathmale
  • mathmale
\[\sqrt{147}-\sqrt{49}\]
mathmale
  • mathmale
becomes ...
mathmale
  • mathmale
\[7\sqrt{3}- ???\]
iwanttogotostanford
  • iwanttogotostanford
i am really looking for a step by step way to do this so I can know for next time, not so much the answer. This seems like a really long and grueling process for a somewhat simple problem. I am studying for a test so I need to know the steps i can take for next time to solve it and right now it seems like a long process
mathmale
  • mathmale
We've already done the work.. Go back and find your result for Sqrt (48).
iwanttogotostanford
  • iwanttogotostanford
So the first step taken would be to factor?
mathmale
  • mathmale
I am proceeding at what I believe is your current pace.
mathmale
  • mathmale
You want to combine (and simplify)\[\sqrt{147}-\sqrt{48}\]
mathmale
  • mathmale
First, factor 147 and 48, looking for the greatest perfect square. For 147, that greatest perfect square is 49; for 48, that greatest perfect square is 16.
mathmale
  • mathmale
Next, reduce both radicals. This means factoring both Sqrt(147) and Sqrt(48).
mathmale
  • mathmale
want to demonstrate what you can do here? Factor...
mathmale
  • mathmale
Hint: \[\sqrt{48}=4\sqrt{3}.\]
iwanttogotostanford
  • iwanttogotostanford
i sort of forgot the basics in factoring.. haven't learned alg. 1 in a while// especially for square roots
mathmale
  • mathmale
OK, I'm glad you'rebeing honest about that. I could have gone much faster thru this material, but I would have lost you.
mathmale
  • mathmale
Please work out Sqrt(147). Factor 147 first, then write each of the factors under a radical sign.
iwanttogotostanford
  • iwanttogotostanford
AFTER I reduce both radicals what to id do?
mathmale
  • mathmale
Sqrt(47) = 7 and Sqrt(3) can't be reduced. So, Sqrt(147) becomes 7Sqrt(3). End. What's the final answer? Subtract 4Sqrt(3) from 7Sqrt(3).
mathmale
  • mathmale
that's Sqrt(49)=7.
iwanttogotostanford
  • iwanttogotostanford
how did you get sq. root 147 to become 7 sq. root 3?
mathmale
  • mathmale
We've already done all of the work except for this very last step.
mathmale
  • mathmale
We start with\[\sqrt{147}\]
mathmale
  • mathmale
and factor 147, obtaining \[\sqrt{49*3}\]
iwanttogotostanford
  • iwanttogotostanford
ok
mathmale
  • mathmale
and separate that into 2 radicals\[\sqrt{49}\sqrt{3}\]
mathmale
  • mathmale
and simplify that result to \[7\sqrt{3}.\]
mathmale
  • mathmale
\[\sqrt{147}-\sqrt{48}?\]
iwanttogotostanford
  • iwanttogotostanford
oh k got it
mathmale
  • mathmale
All the answers you need are above. What's your final result?
iwanttogotostanford
  • iwanttogotostanford
3 sqr root 3
mathmale
  • mathmale
Good.
iwanttogotostanford
  • iwanttogotostanford
yes ok thanks!
mathmale
  • mathmale
You're welcome.
iwanttogotostanford
  • iwanttogotostanford
cani have help with another @mathmale

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