Question

Simplify. √108 - 3√8 -√27

3√3 - 5√2
-3√3 - 5√2
3√3 - 6√2
-3√3 - 6√2

Can someone help me understand the answer? Im told it is the 3rd one but i didnt get an explanation or work to show me how it is that.

Answer 1

Minimal polynomial x^4-198 x^2+2025

Answer 2

Start with some factoring\[\sqrt{3 \times 2\times 2 \times 3 \times 3} - 3\sqrt{2 \times 2 \times 2} - \sqrt{3 \times 3 \times 3}\]

Answer 3

i factored and got 6√2 , -6√2 , and 3√3

Answer 4

^

Answer 5

but i think the last one is a negative and wouldnt the first 2 cross each other out?

Answer 6

Erm well... check the 6√2 again.

Answer 7

oh i see would it be 6√3 ?

Answer 8

Yes! :-)

Answer 9

Is that your answer 6 sqrt 3?

Answer 10

oh okay i see now thanks @ParthKohli

Answer 11

No, just the first term. And the last term is negative.

Answer 12

Here are your terms:\[6\sqrt{3} - 6\sqrt 2 - 3\sqrt{3}\]

Answer 13

You can simplify that expression.