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
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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
