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anonymous
 5 years ago
consider the following radicals..
anonymous
 5 years ago
consider the following radicals..

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[7\sqrt{8}+\sqrt{18}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0radicals are like variables in this case, in order to add them together they have to be "identical" can we reduce these radical expressions to have the same radical stuff?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.07*2sqrt(2) + 3sqrt(2) = 17sqrt(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yeah, I kind of remember how these go.. but what is the next step once we square them?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0not squareing :) we need to get them to "look" the same: sqrt(8) = sqrt(4*2) = sqrt(4) * sqrt(2) = 2sqrt(2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sqrt(18) = sqrt(9*2) = sqrt(9) * sqrt(2) = 3sqrt(2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now we can combine these puppies since they are both "sqrt(2)"s

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.07*2sqrt(2) + 3sqrt(2) = 14sqrt(2) + 3 sqrt(2) = 17sqrt(2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0does that make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah I kind of understand where it's going. Does the *=x? ha.. i'm definitely a visual learner so that is helpful to write out. Thanks!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{ab} = \sqrt{a}* \sqrt{b}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{8}=\sqrt{4*2}=\sqrt{4} * \sqrt{2} = 2\sqrt{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would some of those cancel out then?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0nope, since the problem calls for addition, the only way to cancel anything out would be to subtract like amounts.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait. sorry I just realized you were giving an example. ha okk

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok. So which side do we want to subtract from? Sorry, i don't know what the format of this answer should even look like really so i'm a little confused

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets try this...... 7a + b = ? How would you add these together considering that they are not the same variables?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we would have to redefine the variables so that they were the same.... right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0so, we redefine them like this: a = 2x b = 3x now: 7(2x) + 3x = ?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.014x + 3x = 17x... right? not trying to solve for x....just trying to add them together

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0radicals act just like these variables...... we have to redefine them to "match" each other before we can add them up.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[7\sqrt{8} + \sqrt{18}\]\[7(2\sqrt{2}) + 3\sqrt{2} = ?\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now that they are the "same" variable...we can add them up\[17\sqrt{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh cuz 2 * 7 is 14 and then we add the 3..and does it stay 2 since they are both squared 2?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yep... and the socalled "variable" is the sqrt(2) part.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okk thanks so much for walking through that! so the answer is \[17\sqrt{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0quick question..again.. to find the product for (5+3i)(53i) would this just be 10? I think the 3i's would cancel out?
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