Question

6+ √12 · {√2 + [6√72 +3√6 · ( 4√18 - 3√12)] :18 }

Answer 1

6+ √12 · {√2 + [6√72 +3√6 · ( 4√18 - 3√12)] :18 } =
=6+ 2√3 · {√2 + [36√2 +3√6 · (12√2 - 6√3)] :18 } =
=6+ 2√3 · {√2 + [36√2 +36√12 -18√18)] :18 } =
=6+ 2√3 · {√2 + [2√2 +2√12 -√18)] =
=6+ 2√3 · [√2 + (2√2 +4√3 -3√2)] =
=6+ 2√3 · (√2 + 4√3 -√2)  =
=6+ 2√3 · √3   =
=6+6=12