Question

X= 2 radical din 27+3 radical din 12-5 radical din 48+2 radical din 147=?
Poate cineva să rezolve asta repede dau coroană

Answer 1

 

$\displaystyle\bf\\x=2\sqrt{27}+3\sqrt{12}-5\sqrt{48}+2\sqrt{147}\\\\x=2\sqrt{9\cdot3}+3\sqrt{4\cdot3}-5\sqrt{16\cdot3}+2\sqrt{49\cdot3}\\\\x=2\sqrt{3^2\cdot3}+3\sqrt{2^2\cdot3}-5\sqrt{4^2\cdot3}+2\sqrt{7^2\cdot3}\\\\Scoatem~intregii~de~sub~radical.\\\\x=2\cdot3\sqrt{3}+3\cdot2\sqrt{3}-5\cdot4\sqrt{3}+2\cdot7\sqrt{3}\\\\x=6\sqrt{3}+6\sqrt{3}-20\sqrt{3}+14\sqrt{3}\\\\x=(6+6-20+14)\sqrt{3}\\\\\boxed{\bf x=6\sqrt{3}}$