Question

Va rog sa le faceti rapid​

Answer 1

Răspuns:

Explicație pas cu pas:

6.

a = 9*(3√3)^16 = 3^2*3^16*3^8 = 3^26 = (3^2)^13 = 9^13

b = (2√2)^26 = 2^26*2^13 = 2^39 = (2^3)^13 = 8^13

a > b

______________

7.

a = 1 + √2 + (√2)^2 + (√2)^3 + (√2)^4 + (√2)^5 + (√2)^6 + (√2)^7 + (√2)^8 + (√2)^9 = 1 + √2 + 2 + 2√2 + 4 + 4√2 + 8 + 8√2 + 16 + 16√2

= 31 + 31√2 = 31*(1 + √2)

a*(√2 - 1) = 31*(√2 + 1)*(√2 - 1) = 31*(2 - 1) = 31*1 = 31