Question

Thực hiện tính \(\left(3+\sqrt{5}\right)\sqrt{\left(\sqrt{5}-3\right)^2}\)

Answer 1

\(\left(3+\sqrt{5}\right)\sqrt{\left(\sqrt{5}-3\right)^2}\\ =\left(3+\sqrt{5}\right)\left|\sqrt{5}-3\right|\\ =\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)\\ =3^2-\sqrt{5^2}\\ =9-5\\ =4\)

Answer 2

\(\left(3+\sqrt{5}\right)\sqrt{\left(\sqrt{5}-3\right)^2}\\ =\left(3+\sqrt{5}\right)\left|\sqrt{5}-3\right|\\ =\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)\\ =9-5=4\)