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anonymous
 4 years ago
simplify the expression square root of 27 times square root of 2
anonymous
 4 years ago
simplify the expression square root of 27 times square root of 2

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{27}\times \sqrt{2} \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.03sqrt3 *sqrt2 = 3sqrt6

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2= sqrt{27*2} = sqrt{54} = sqrt{9*6} = sqrt{9} * sqrt{6} = 3 sqrt{6}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how did you get 3 square roots of three

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.027=9*3 sqrt(9*3)=3sqrt3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so take the perfact square of 9 out of 27 so 9 times 3 =27 then the suare root of 9 is 3 so 3 suare roots of the 3 that cant be simplified right

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2If you use my approach, you wouldn't have to worry about running into 3 sqrt{3}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok ya i think Hero's way makes a little more sence. thanks though

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so 27 times 2 =54 than take the perfect square root of 9 out so 9 times 6= 54 then simplify so 3 square roots of 6 corect?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so as another example \[\sqrt{10} \times \sqrt{8}\] 10 times 8 is 80 then take 16 out so 16 times 5 = 80 then simplify to 4 square roots of 5 is that how it works?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok but what about \[\sqrt{12} \times \sqrt{18}\] i have a fealing theres an extra step i don't know how to do

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2It's the same strategy...look for the highest square, then split it up into a square root of two numbers, one being a square.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2If you multiply 12*18 you get 216. 216/6 = 36 so do sqrt{36*6}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got 18 times 12 is 216 then 9 times 24 so 3 is from the 9 and the 24 also can go to 4times 6 which is 2 square roots of 6 so would i add 3+ 2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and make it 5square roots of 6

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Basically, there are two strategies to finding the square. You either divide by multiples of two until you find a square, or you divide by squares until you get a nondecimal integer.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Basically, I did this: 216/2 no 216/4 no 216/6 yes Or you can find the nearest square and divide by that like so: 216/196 no 216/169 no ... 216/36 yes It depends on which number you're working with but either way works.
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