Question

Scoateti factori de sub radical ,apoi calculati rapoartele A ori B supra C si A ori C supra B.
a)A=6√8-3√32+9√50+5√18;
B=7√486-4√150+11√24-3√96;
C=3√108+2√192-4√12-2√75;
VA ROG E URGENT!!!!!

Answer 1

a) A = 6√8 - 3√32 + 9√50 + 5√18
A = 6×2√2 - 3×4√2 + 9×5√2 + 5×3√2

A = 12√2 - 12√2 + 45√2 + 15√2

A = 60√2

B = 7√486 - 4√150 + 11√24 - 3√96

B = 7×9√6 - 4×5√6 + 11×2√6 - 3×4√6

B = 64√6 - 20√6 + 22√6 - 12√6

B = 54√6

C = 3√108 + 2√192 - 4√12 - 2√75

C = 3×6√3 + 2×8√3 - 4×2√3 - 2×5√3

C = 18√3 + 16√3 - 8√3 - 10√3

C = 16√3

Calculez rapoartele

• A×B/C = 60√2 × 54√6/16√3 = 60√2 × 27√2/8 = 1620 × 2/8 = 1620/4 = 405
• A×C/B = 60√2 × 16√3/54√6 = 960√6/54√6 = 960/54 = 160/9