Question

Решите плиз под номером 3

Answer 1

$\sqrt{(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}})\cdot2+7}=$

$\sqrt{ \left(\sqrt{5+2\sqrt{15}+3}-\sqrt{5-2\sqrt{15}+3}\right) \cdot2+7}=$

$\sqrt{ \left(\sqrt{(\sqrt5)^2+2\sqrt{15}+(\sqrt3)^2}-\sqrt{(\sqrt5)^2-2\sqrt{15}+(\sqrt3)^2}\right) \cdot2+7}=$

$\sqrt{ \left(\sqrt{(\sqrt5+\sqrt3)^2}-\sqrt{(\sqrt5-\sqrt3)^2}\right) \cdot2+7}=$

$\sqrt{ \left(|\sqrt5+\sqrt3|-|\sqrt5-\sqrt3|\right) \cdot2+7}=$

$\sqrt{ \left(\sqrt5+\sqrt3-\sqrt5+\sqrt3\right) \cdot2+7}=$

$\sqrt{4\sqrt3+7}=\sqrt{3+4\sqrt3+4}=$

$\sqrt{(\sqrt3)^2+4\sqrt3+2^2}=\sqrt{(\sqrt3+2)^2}=$

$|\sqrt3+2|=\sqrt3+2$