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How do you evaluate #sqrt(18) - 2sqrt(2)#?

Answer 1

#3sqrt(3) - 2sqrt(2)#

18 has 2 and 9 as factors.

As we all know, 9 is a perfect square, which means that we can extract it from #sqrt(18)# and it will look like this #sqrt(9)* sqrt(2)#.

Then, we'll simplify #sqrt(9)# by finding its square root, which is 3.

The simplified equation is now #3sqrt(3) - 2sqrt(2)#

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Answer 2

Hazel Anglin

To evaluate sqrt(18) - 2sqrt(2), we first simplify each term separately.

The square root of 18 can be simplified as follows: sqrt(18) = sqrt(9 * 2) = sqrt(9) * sqrt(2) = 3 * sqrt(2) = 3sqrt(2).

Next, we simplify 2sqrt(2) as it is: 2sqrt(2).

Now, we can substitute these simplified terms back into the original expression: 3sqrt(2) - 2sqrt(2).

Since both terms have the same radical (sqrt(2)), we can combine them by subtracting the coefficients: 3sqrt(2) - 2sqrt(2) = (3 - 2)sqrt(2) = sqrt(2).

Therefore, the simplified expression is sqrt(2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.