Question

calculati........... ​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

(√50/4 - √98/16) - (√242/144 - √200/9)

= (5√2/2 - 7√2/4) - (11√2/12 - 10√2/3)

= (10√2/4 - 7√2/4) - (11√2/12 - 40√2/12)

= 3√2/4 + 29√2/12

= 9√2/12 + 29√2/12

= 38√2/12 = 19√2/6

______________

c)

(√96/49 + √24/441) - (√54/196 - √150/49)

= (4√6/7 - 2√6/21) - (3√6/14 - 5√6/7)

= (12√6/21 - 2√6/21) - (3√6/14 - 10√6/14)

= 10√6/21 + 7√6/14

= 10√6/21 + √6/2

= 20√6/42 + 21√6/42

= 41√6/42