Question

Numarul | 3v2-2v5|+2·|1-2v5| este? v= radical din

Answer 1

(3√2)² = 9 × 2 = 18
(2√5)² = 4 × 5 = 20
⇒2√5 > 3√2
⇒ | 3v2-2v5| = 2v5 - 3√2

2√5 > 1
⇒  |1-2√5| = 2√5 - 1

⇒ | 3√2 - 2√5| + 2 × |1 - 2√5|  =
= 2√5 - 3√2 + 2(2√5 - 1) =
= 2√5 - 3√2 + 4√5 - 2 = 6√5 - 3√2 - 2

Answer 2

(3√2)²=9·2=18
(2√5)²=4·5=20
3√2<2√5
2√5>1

| 3√2-2√5|+2·|1-2√5|=
=-(3√2-2√5)-2·(1-2√5)=
=-3√2+2√5-2+4√5=
=6√4-3√2-2