Question

2√3-1 3√3-2

a.) -9√3
b.) 16+1√3
c.) 13√3
d.) 20-7√3

Answer 1

You mean this ?
\[2\sqrt{3}-13\sqrt{3}-2\]

Answer 2

2~(3)-13~(3)-2

According \to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca.

\[\text{Here,} \sqrt{3} ~~\text{is a factor of both}~~ 2\sqrt{3}~~ and -13\sqrt{3}.\]
\[(2-13)\sqrt{3}-2\]

to add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value

So, subtract the absolute values of 2 and -13 and give the result the same sign as the integer with the greater absolute value.
\[-11\sqrt{3}-2 \]

Answer 3

(2√3-1)(3√3-2)

Answer 4

(2~(3)-1)(3~(3)-2)
FOIL
6\sqrt(3)^(2)-7\sqrt(3)+2

18-7sqrt(3)+2

20-7sqrt(3)

Answer 5

Thank you!