Question

(2√5+3√2)×(√5−√8). ​

Answer 1

Ответ:

-2-√10

Пошаговое объяснение:

(2√5+3√2)×(√5-√8)=2√5√5-2√5√8+3√2√5-3√2√8=2×5-2√40+3√10-3√16=10-4√10+3√10-12=-2-√10

Answer 2

To simplify the expression (2√5 + 3√2) × (√5 − √8), we can use the distributive property of multiplication over addition:

(2√5 + 3√2) × (√5 − √8)

= 2√5 × √5 + 2√5 × (-√8) + 3√2 × √5 + 3√2 × (-√8)

= 2√(5 × 5) + 2√(5 × -8) + 3√(2 × 5) + 3√(2 × -8)

= 2√25 - 2√40 + 3√10 - 3√16

= 2√25 - 2√(4 × 10) + 3√10 - 3√(4 × 4)

= 2√25 - 2√4√10 + 3√10 - 3√4√4

= 2√25 - 2(2)√10 + 3√10 - 3(2)

= 2(5) - 4√10 + 3√10 - 6

= 10 - 6 - √10 + 3√10

= 4 - √10 + 3√10

= (4 + 3)√10

= 7√10

So, the simplified form of (2√5 + 3√2) × (√5 − √8) is 7√10.