Question

√7(3-2√7)

Answer 1

if you have a fraction with a sqrt on the denominator (bottom part). You have to multiply and devide your fraction by the same sqrt:\[-2/\sqrt{7}\]\[(-2/\sqrt{7}) * (\sqrt{7}/\sqrt{7}) = (-2\sqrt{7} / 7)\]

Answer 2

parenthesis first:\[(3-2\sqrt{7}/7) = (21-2\sqrt{7})/7\]

Answer 3

thx

Answer 4

wait, i dont get it

Answer 5

for last multiply:\[\sqrt{7} * (21-2\sqrt{7})/7 = (21\sqrt{7}- 2*7) / 7 = (21\sqrt{7} - 14)/7\]

Answer 6

you can simplify by factoring 21 and 14:\[[7*(3\sqrt{7}-2)]/7 = (3\sqrt{7}-2)\]