Question

N=4x3^6+7x3^7 patrat perfect?

Answer 1

Răspuns:

N = 135² ; N = patrat perfect

Explicație pas cu pas:

N = 4·3⁶ + 7·3⁷ = patrat perfect ?

Dam factor comun pe 3⁶ =>

N = 3⁶·(4+7x3) = 3⁶·(4+21) = 3⁶·25

N = (3³ˣ²)·5²

N = (3³)²·5²

N = (3³·5)²

N = (27·5)²

N = 135²

N = patrat perfect