Question

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

Answer 1

NOOOO

Answer 2

This is the problem?\[\Large\rm 2\sqrt3-2\sqrt3\]What numerical value does it equal?
Remember how to combine like-terms? :)

Answer 3

so yes, it is IRRATIONAL, concluding the answer as NO? @zepdrix

Answer 4

Think 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?

Answer 5

Rational 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 \(\large\rm \frac{1}{1000}\).

Answer 6

But what about zero? :)

Answer 7

wait, 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

Answer 8

You need to simplify BEFORE you determine whether or not it's rational.

Answer 9

\[\large\rm 2\sqrt3-2\sqrt3=0\]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.

Answer 10

Only look at the zero.

Answer 11

So... determine whether or not zero is a rational number, and you will have your answer.