Math Formulas

Algebra → Roots → Complex exercises

MR-85 / 221.a

Simplify the following expression:

$\frac{\sqrt{x} + \sqrt{y} - 1}{x + \sqrt{x y}} + \frac{\sqrt{x} - \sqrt{y}}{2 \sqrt{x y}} (\frac{\sqrt{y}}{x - \sqrt{x y}} + \frac{\sqrt{y}}{x + \sqrt{x y}})$

$x > 0; y > 0$

MR-95 / 230.b

Simplify the following expression:

$\sqrt{6 - 4 \sqrt{2}}$

MR-91 / 336.

Simplify the following expression:

$(\sqrt[3]{1 + 2 \sqrt{6}} - \sqrt[6]{25 + 4 \sqrt{6}}) \cdot \sqrt[3]{2 \sqrt{6} - 1}$