Square Root Help.... Please Help Solve!!?

Question

1) square root of 216

2) square root of 10 Times square root of 12

3) square root of 12 Times square root of 30

4) -4 times square root of 72

5) -3 times square root of 162

6) square root of 1800 divided by square root of 60

7) square root of 24 divided by square root of 2

8) square root of 36 divided by square root of 12


THANKS SOO MUCH BEST ANSWER WILL BE REWARDED!!!

Answer 1

i hope you know how to simplify radicals and not just putting theses questions up here so you can get the answers because you will never learn that way. Well heres what i got:
1. 216 = 36 x 6 ....... 6 square roots of 6 (or 6 radical 6)

2. square root of 10 cannot be simplified. 12 = 4x3 so its
2 square roots of 3 x 10 = 2square roots of 30

3. 12 = 4 x 3 and 30 is "prime" so
2 radical3 x radical 30 = 2radical90
which simplifies into 6 sqaure roots of10

4.72 = 36 x 2
so its 6 square roots of 2
6radical2 x -4 = -24radical 2

5. 162 = 81 x 2
so its 9radical2
9radical2 x -3 = -27radical2

6. 1800 = 900 x 2 60 = 4 x 15
so its 30radical2 and 2radical15
30radical 2 / 2 radical 15
so you simplify into 15radical2/radical15 (get rid of the radical in the denominator:
15radical2 x radical15 / radical15 x radical 15
15radical30/ 15 which simplifies to:
radical 15

7. 24 = 4 x 6
so its 4radical6/radical2 (get rid of the radical)
4radical12/ 2 which simplifies:
2radical12 = 4radical3

8.radical 36 = 6
6/radical2 = 6radical2/2
which simplifies to 3radical2

Hope this helps!!