My math course is forcing me to put my answers in square root form... it's so foreign to me! Can someone explain the simplification process?
I would begin by writing all the perfect squares of the numbers from 10 dpwm through 1:
10² = 100 Do this, so that you have some numbers to look at.
9² = 81 There may be some cases, that you need numbers larger than
8² = 64 these, but they won't occur often
7² = 49
6² = 36 You really don't need to write the 1² = 1.
5² = 25
4² = 16 The reason to start with the largest number first is that your eyes
3² = 9 will go from top down and it will be easier to solve the problems
2² = 4 if you go from largest to smallest.
1² = 1
Example: √1152 Of the perfect squares above, which is the largest one that divides into
1152 evenly (without a remainder)? It is 64 --> 1152 ÷ 64 = 18.
Now, write √1152 = √64 · √18
Now look at 18; what is the largest perfect square that divides into 10?
It's 9 because 18 = 9 · 2
You have: √1152 = √64 · √9 · √2
Since 2 can't be divided by any perfect square, you're done after you
simplify your answer.
√1152 = √64 · √9 · √2 = 8 · 3· √2 = 24 √2
This is tough; write back if you can use more help (or different help!).
I would begin by writing all the perfect squares of the numbers from 10 dpwm through 1:
10² = 100 Do this, so that you have some numbers to look at.
9² = 81 There may be some cases, that you need numbers larger than
8² = 64 these, but they won't occur often
7² = 49
6² = 36 You really don't need to write the 1² = 1.
5² = 25
4² = 16 The reason to start with the largest number first is that your eyes
3² = 9 will go from top down and it will be easier to solve the problems
2² = 4 if you go from largest to smallest.
1² = 1
Example: √1152 Of the perfect squares above, which is the largest one that divides into
1152 evenly (without a remainder)? It is 64 --> 1152 ÷ 64 = 18.
Now, write √1152 = √64 · √18
Now look at 18; what is the largest perfect square that divides into 10?
It's 9 because 18 = 9 · 2
You have: √1152 = √64 · √9 · √2
Since 2 can't be divided by any perfect square, you're done after you
simplify your answer.
√1152 = √64 · √9 · √2 = 8 · 3· √2 = 24 √2
This is tough; write back if you can use more help (or different help!).