Question

Find n

4√12 − √75 = √n

Answer 1

Answer:

$4\sqrt{12}-\sqrt{75}=\sqrt{n} \\\\ 4\times2\sqrt{3} -\sqrt{5\times5\times3} = \sqrt{n} \\\\ 8\sqrt{3}-5\sqrt{3} = \sqrt{n} \\\\ 3\sqrt{3}=\sqrt{n} \\\\ (3\sqrt{3})^2=(\sqrt{n})^2 \\\\ 27=n \\\\ \bold{n=27}$