Question

(⁶√27+⁴√64)(⁶√27-⁴√64)=​

Answer 1

Ответ - 5

Решение задания прилагаю

Answer 2

Ответ:

Объяснение:

По формуле (а-b)(a+b)=a²-b²

Имеем при а=⁶√27 , b=⁴√64

(⁶√27+⁴√64)(⁶√27-⁴√64)=​(⁶√27)²-(⁴√64)²=³√27- ²√64 = 3-8=-5

Answer 3

To simplify the expression (⁶√27 + ⁴√64)(⁶√27 - ⁴√64), you can use the difference of squares formula:

a² - b² = (a + b)(a - b)

In this case, let a be ⁶√27 and b be ⁴√64.

a = ⁶√27 = ³√(27^(1/6)) = ³√(3) b = ⁴√64 = ²√(64^(1/4)) = ²√(2)

Now, you can apply the difference of squares formula:

(³√3 + ²√2)(³√3 - ²√2)

Now, simply multiply the two factors:

(³√3 + ²√2)(³√3 - ²√2) = (³√3)² - (²√2)²

Using the difference of squares formula again, we get:

(³√3)² - (²√2)² = 3 - 2 = 1

So, (⁶√27 + ⁴√64)(⁶√27 - ⁴√64) simplifies to 1.