Mixed Radical Review

Adding & Substracting

100

-3sqrt(45)-sqrt5

-10sqrt5

200

-3sqrt5-2sqrt45

-9sqrt5

300

3sqrt2-3sqrt3+3sqrt27

3sqrt2+6sqrt3

400

-sqrt6-2sqrt12-2sqrt24

-5sqrt6-4sqrt3

Adding & Subtracting 2

100

2sqrt18-3sqrt2

3sqrt2

200

3sqrt24-2sqrt6

4sqrt6

300

-3sqrt24+2sqrt6+2sqrt6

-2sqrt6

400

3sqrt27-sqrt3-sqrt3

7sqrt3

Multiplying

100

3sqrt15(5sqrt6+3sqrt2)

45sqrt10+9sqrt30

200

-3sqrt6(2+sqrt3)

-6sqrt6-9sqrt2

300

(-4sqrt5-4)(sqrt5-2)

-12+4sqrt5

400

(sqrt3+sqrt5)(sqrt3+5sqrt5)

28+6sqrt15

Multiplying 2

100

sqrt15(2sqrt6+sqrt5)

6sqrt10+5sqrt3

200

2sqrt15(sqrt6+sqrt2)

6sqrt10+2sqrt30

300

(sqrt2-5sqrt3)(-4sqrt2+sqrt3)

-23+21sqrt6

400

(sqrt2+sqrt3)(sqrt2+sqrt5)

2+sqrt10+sqrt6+sqrt15

Dividing

100

frac{5sqrt5}{sqrt2}

frac{5sqrt10}{2}

200

frac{4}{5+sqrt5}

frac{5-sqrt5}{5}

300

frac{2-sqrt3}{3-5sqrt5}

frac{-6-10sqrt5+3sqrt3+5sqrt15}{116}}

400

frac{3+sqrt3}{2sqrt3+sqrt5}

frac{6sqrt3-3sqrt5+6-sqrt15}{7}