Question

cat este ✓50+√54×(3/√2-5/√27)-√108​

Answer 1

Răspuns:

Explicație pas cu pas:

Cat este ✓50+√54×(3/√2-5/√27)-√108​ ?

✓50+√54×(3/√2-5/√27)-√108=√(5²·2)+√(3³·2)·(3/√2-5/√(3³)-√(6²·3)=

5√2+3√(3·2)·(3√2/√2·√2-5/3√3)-6√3=5√2+3√6·(3√2/2-5√3/3·3)-6√3=

5√2+3·(3√6·√2/2-5√6·√3/9)-6√3=5√2+3·(3√12/2-5√18/9)-6√3=

5√2+3·(3·2√3/2-5·3√2/9)-6√3=5√2+3·(3·√3-5·√2/3)-6√3=

5√2+9√3-5√2-6√3=5√2-5√2+9√3-6√3=9√3-6√3=3√3