Question

simplify 2+root3/2-root3 and 2-root 3 /2+root 3 = -8 root 3 how?​

Answer 1

Answer:

-8 root 3

Explanation:

1.

(2+root3)/(2-root3)

multiply denominator and numerator by 2+root3

=(2+root3)^2/(2-root3)(2+root3)

=(4+3+2*2*root3)/(2^2-(root3)^2)

=7+4root3

2.

(2-root3)/(2+root3)

multiply denominator and numerator by 2-root3

=(2-root3)^2/(2+root3)(2-root3)

=(4+3-4root3)/4-3

=7-4root3

subtract answer of 1st part from the answer of 2nd part

7-4root3-(7+4root3)

=-8 root 3