Radical 🤙 RADICALS Dude

Simplifying Radicals (Square and Cube Roots)

100

sqrt(128)

8sqrt(2)

200

-4root(3)(-128)

16root(3)(2)

300

sqrt(72x^4y^3)

6x^2ysqrt2y

400

-4sqrt(144m^9n^21)

-48m^8n^10sqrt(mn)

500

-6root(3)(-192m^3n^7)

24mn^2root(3)(3n)

Adding & Subtracting Radicals

100

sqrt(12)+sqrt(3)

3sqrt(3)

200

2sqrt(54)-2sqrt(6)

4sqrt(6)

300

2sqrt(24)-3sqrt(54)-3sqrt(24)

-11sqrt(6)

400

sqrt(27)+sqrt(12)+sqrt(9)+sqrt(20)

5sqrt(3)+3+2sqrt(5)

500

-3sqrt(27)+2sqrt(2)-2sqrt(6)-sqrt(45)

-9sqrt(3)+2sqrt(2)-2sqrt(6)-3sqrt(5)

Multiplying Radicals

100

sqrt(8)*sqrt(10)

4sqrt(5)

200

sqrt(15b)*sqrt(9b^2)

3bsqrt(15b)

300

5sqrt(10x^2y^3)*4sqrt(5xy)

100xy^2sqrt(2x)

400

sqrt(2)(sqrt(2)+sqrt(6))

2+2sqrt(3)

500

(4sqrt(2)-3sqrt(5))(-sqrt(3)+sqrt(5))

-4sqrt(6)+4sqrt(10)+3sqrt(15)-15

Dividing Radicals

100

sqrt(20)/sqrt(45)

2/3

200

sqrt(8)/(5sqrt(50))

2/25

300

(2sqrt(3))/(3sqrt(6))

sqrt(2)/3

400

(2+sqrt(2))/sqrt(6)

(sqrt(6)+sqrt(3))/3

500

(5sqrt(2)-5sqrt(5))/(10sqrt8)

(2-sqrt(10))/8

Solving Radical Equations

100

sqrt(3-n)+5=5

3

200

10=sqrt(x/3)+7

27

300

9sqrt(3n-12)=27

5

400

sqrt(b-10)=sqrt(24-b)

17

500

sqrt(r-2)=sqrt(3r-12)

5