AoPS

MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules

Problem

Simplify: (1) (a)

7\sqrt{5}-3\sqrt{5}

(2) (b)

2\sqrt{6}-\sqrt{54}

(3) (c)

5\sqrt{3}(4-\sqrt{3})

(4) (d)

(1+\sqrt{2})(2+\sqrt{2})

(5) (e)

(6-5\sqrt{2})^2

(6) (f)

(3+\sqrt{5})(3-\sqrt{5})