Răspuns:
√(25ⁿ+25ⁿ⁺¹+25ⁿ⁺²)=
√(25ⁿ+25ⁿ*5+5²*5ⁿ)=
√[(25ⁿ+5*25+25*25ⁿ)=
√31*25ⁿ=√31*5²ⁿ=5ⁿ*√31
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√50ⁿ*18ⁿ⁺¹*9ⁿ=√50ⁿ*18*18ⁿ*9ⁿ=
√900ⁿ*2*9*9ⁿ=
√(30)²ⁿ*2*9ⁿ⁺¹
30ⁿ√2*3²⁽ⁿ⁺¹⁾=
30ⁿ*3ⁿ⁺¹*√2=
30ⁿ*3ⁿ*3√2=
90ⁿ*3*√2
Explicație pas cu pas:
