Radicals

Simplifying Radicals

100

sqrt{12}

2sqrt{3}

200

sqrt{162}

9sqrt{2}

300

-9sqrt{72}

-54sqrt{2}

400

-6sqrt{576}

-144

500

\root{3}{81}

3\root{3}{3}

Adding/Subtracting Radicals

100

5sqrt{3}+8sqrt{3}

13sqrt{3}

200

3sqrt{18}-3sqrt{18}-3sqrt{5}

-3sqrt{5}

300

-2sqrt{3}-2sqrt{2}-sqrt{18}

-2sqrt{3}-5sqrt{2}

400

-3sqrt{12}-2sqrt{3}+3sqrt{27}

sqrt{3}

500

2sqrt{45}-3sqrt{20}+2sqrt{8}

4sqrt{2}

Multiplying Radicals

100

sqrt{24}*sqrt{30}

12sqrt{5}

200

2sqrt{3}*sqrt{12}

12

300

sqrt{10}*2sqrt{5}

10sqrt{2}

400

-2sqrt{24}*sqrt{36}

-24sqrt{6}

500

4sqrt{15}*3sqrt{3}

36sqrt{5}

Radical Equations

100

sqrt{2x+8}=sqrt{2-x}

-2

200

sqrt{3x}=6

12

300

sqrt{3x+4}=5

7

400

-4sqrt{12m-3}=-36

7

500

\sqrt{x+9}+3=x

0 and 7

Normal Equations

100

2+3(x+10)=2

-10

200

−4(−3x−4)−5x=−26 

-6

300

2(x−1)+3x−5=−17

-2

400

6(−x+3)=−(6x−6)+3x

4

500

−9−(x+1)=−2−(3x−5)

13/2 or 6.5