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anonymous
 one year ago
please help me with this question, no answers allowed! :)
Is the simplified form of 2square root of 3 − 2square root of 3 rational?
Yes
No
anonymous
 one year ago
please help me with this question, no answers allowed! :) Is the simplified form of 2square root of 3 − 2square root of 3 rational? Yes No

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1This is the problem?\[\Large\rm 2\sqrt32\sqrt3\]What numerical value does it equal? Remember how to combine liketerms? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so yes, it is IRRATIONAL, concluding the answer as NO? @zepdrix

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Think of the sqrt3 as just like uhhh... potato. So your problem is really 2potato minus 2potato. Which ... equals zero, ya? Is zero a rational number?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Rational numbers are numbers which we can write as a ratio of integers. Examples: 5 is a rational number because we can write it as \(\large\rm \frac{5}{1}\). whole number divided by another whole number. 2.5 is a rational number because we can write it as \(\large\rm \frac{5}{2}\). 0.001 is a rational number because we can write it as \(\large\rm \frac{1}{1000}\).

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1But what about zero? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait, but the sqr root of 3 is a decimal, concluding that it is IRRATIONAL... I am just solving it, and not sure where you get the numbers lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1You need to simplify BEFORE you determine whether or not it's rational.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm 2\sqrt32\sqrt3=0\]When we do the subtraction, we get zero. We have simplified the expression. We no longer care about the fact that the sqrt3's were irrational.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Only look at the zero.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So... determine whether or not zero is a rational number, and you will have your answer.
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