anonymous
  • anonymous
simply. assume all variables represent positive real numbers (sqrt = quare root): 1.) sqrt. 96x^2 y 2.) ^4 sqrt. 16a^4 3.) ^3 sqrt. 64x^4 y^5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
please help, i am taking an exam & dont understand it :(
anonymous
  • anonymous
i dont understand what you are supposed to find out.
anonymous
  • anonymous
like whats it on? on my exam it just says to simplify

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anonymous
  • anonymous
its 3 different problems
anonymous
  • anonymous
\[\sqrt{96x ^{2}y}=\sqrt{16*6x ^{2}y}=4x \sqrt{6y}\]
anonymous
  • anonymous
\[\sqrt[4]{16a ^{4}}=\sqrt[4]{(2a)^{4}} = 2a\]
anonymous
  • anonymous
\[\sqrt[3]{64 x ^{4}y ^{5}}=\sqrt[3]{(4xy)^{3}xy ^{2}}=4xy \sqrt[3]{xy ^{2}}\]
anonymous
  • anonymous
THANK YOU SO MUCH !
anonymous
  • anonymous
can you help me out please with a couple more problems?
anonymous
  • anonymous
no, I can't do your problems for you. I have shown you how to do these problems. You can do the rest on your own if you apply the same logic. if you have doubts, feel free to ask and I will clarify.
anonymous
  • anonymous
aw okay , thanks though. but for adding and subtracting them with others would they need the same sqrt inside ?
anonymous
  • anonymous
give me an example.
anonymous
  • anonymous
[2 sqrt. 128] + [5 sqrt. 32] + [2 sqrt.200]
anonymous
  • anonymous
sqrt3 is a number. So if you had 3sqrt 3 +5sqrt3 sqrt 4, you can factor out sqrt3 as if it was a number so it would become sqrt 3 (3+5sqrt4)
anonymous
  • anonymous
you mean [2 sqrt.200] as sqrt.3 ?
anonymous
  • anonymous
no , I was giving an example of my own. In your problem you can express sqrt 200 as sqrt 8 sqrt 25. you can express sqrt 32 as sqrt4 sqrt 8. you can express sqrt 128 as sqrt 8 sqrt 16
anonymous
  • anonymous
how do you know how to express it ?
anonymous
  • anonymous
you see what is the highest common factor between 200, 32 and 128 and factor it out.
anonymous
  • anonymous
all 3 have to have the same in common ?
anonymous
  • anonymous
which would be 8 ?
anonymous
  • anonymous
yup.
anonymous
  • anonymous
so answer would be 9 sqrt.8 ?
anonymous
  • anonymous
the numbers add up to 9
anonymous
  • anonymous
nope.
anonymous
  • anonymous
2 + 5 + 2 = 9 ?
anonymous
  • anonymous
it does
anonymous
  • anonymous
so if we have the same sqrt. already than just add the numbers which give 9
anonymous
  • anonymous
yes, but 2 sqrt 200 = 2 sqrt 5 sqrt 8 = 2*5 sqrt 8= 10sqrt8
anonymous
  • anonymous
sorry 2*sqrt 200 = 2*sqrt 25*sqrt 8 = 2*5*sqrt8 = 10sqrt8
anonymous
  • anonymous
and simplfying that would give [2 sqrt. 2] ?
anonymous
  • anonymous
half of each other
anonymous
  • anonymous
yes, if you want to simply it further, sqrt 8 = 2 sqrt2
anonymous
  • anonymous
and to simplfy that is 1 ?
anonymous
  • anonymous
simplify what is 1?

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