$$\frac{\sqrt{2}-15}{\sqrt{2}+1}-4}-\sqrt{\sqrt{2}+1}+1$$
$13-16\sqrt{2}\approx -9.627416998$
$$\frac{\left(\sqrt{2}-15\right)\left(\sqrt{2}-1\right)}{\left(\sqrt{2}+1\right)\left(\sqrt{2}-1\right)}-4$$
$$\frac{\left(\sqrt{2}-15\right)\left(\sqrt{2}-1\right)}{\left(\sqrt{2}\right)^{2}-1^{2}}-4$$
$$\frac{\left(\sqrt{2}-15\right)\left(\sqrt{2}-1\right)}{2-1}-4$$
$$\frac{\left(\sqrt{2}-15\right)\left(\sqrt{2}-1\right)}{1}-4$$
$$\left(\sqrt{2}-15\right)\left(\sqrt{2}-1\right)-4$$
$$\left(\sqrt{2}\right)^{2}-\sqrt{2}-15\sqrt{2}+15-4$$
$$2-\sqrt{2}-15\sqrt{2}+15-4$$
$$2-16\sqrt{2}+15-4$$
$$17-16\sqrt{2}-4$$
$$13-16\sqrt{2}$$
Show Solution
Hide Solution
