Question

7*√450 + 9*√12 - 7*√48-3*√98= resolución paso a paso

Answer 1

$7 \sqrt{450}+9 \sqrt{12} -7 \sqrt{48}-3 \sqrt{98} \\ \\ 450=2*3*3*5*5=2*3^2*5^2 \\ 12=2*2*3=2^2*3 \\ 48=2*2*2*2*3=2^2*2^2*3 \\ 98=2*7*7=2*7^2 \\ \\ =7 \sqrt{2*3^2*5^2}+9 \sqrt{2^2*3} -7 \sqrt{2^2*2^2*3 }-3 \sqrt{2*7^2}= \\ \\ =7 *3*5\sqrt{2}+9 *2 \sqrt{3} -7 *2*2\sqrt{3 }-3*7 \sqrt{2} =\\ \\ =105\sqrt{2}+18 \sqrt{3} -28\sqrt{3 }-21 \sqrt{2} =\\ \\ =105 \sqrt{2}-21 \sqrt{2} + 18\sqrt{3} -28 \sqrt{3} = \\ \\= 84 \sqrt{2} -10 \sqrt{3}$