Question

(5 Корень 2 + 6 корень 3) * ( 6 корень 2 - 5 корень 3)

Answer 1

(5√2+6√3)(6√2-5√3)= 30√4-25√6+36√6-30√9= 30*2+11√6-30*3=60-90+11√6= 11√6-30

Answer 2

Решение смотрите в приложении.

Answer 3

To simplify the expression, let's use the distributive property of multiplication to expand it:

(5√2 + 6√3) * (6√2 - 5√3)

Using the FOIL method (First, Outer, Inner, Last):

First: 5√2 * 6√2 = 30√2 * √2 = 30 * 2 = 60

Outer: 5√2 * (-5√3) = -25√6

Inner: 6√3 * 6√2 = 36√6

Last: 6√3 * (-5√3) = -30√3 * √3 = -30 * 3 = -90

Now, combining all the terms:

(5√2 + 6√3) * (6√2 - 5√3) = 60 - 25√6 + 36√6 - 90

Next, combine like terms:

(60 - 90) + (36√6 - 25√6) = -30 + 11√6

So the simplified expression is:

(5√2 + 6√3) * (6√2 - 5√3) = -30 + 11√6