Write a brief explanation on how to simplify radicals
1 answer:
2 ways: make a little divide tree based on how many times you can divide it. Like you have sqrt88 you know it can divide by 2. So its 2 and 44, and 44 can be broken to 2 and 22, then 2 and 11. 11 can’t be divided anymore.
Now choose numbers that are the same and pair them together. These go outside the radicand. You had three 2’s and one 11. So a 2 would go on the outside and the remaining 2 and 11 would be multiplied leaved 2sqrt22.
Another way is to divide by the highest squared number. Taking sqrt88 again. 4 would be the highest squared number. So 88 would be 4 and 22, then 2 and 11. Since you have a 4 which is a perfect square you put that squareroot outside. The inside would remain the same because it wouldn’t break down into perfect squares or pairs anymore. So that would be 2sqrt22.
Now choose numbers that are the same and pair them together. These go outside the radicand. You had three 2’s and one 11. So a 2 would go on the outside and the remaining 2 and 11 would be multiplied leaved 2sqrt22.
Another way is to divide by the highest squared number. Taking sqrt88 again. 4 would be the highest squared number. So 88 would be 4 and 22, then 2 and 11. Since you have a 4 which is a perfect square you put that squareroot outside. The inside would remain the same because it wouldn’t break down into perfect squares or pairs anymore. So that would be 2sqrt22.
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Answer:
7 pieces
Step-by-step explanation:
Stock that must be available at the beginning of each month = 26 yards
Since,
1 yard = 36 inches
26 yards = 26 x 36 = 936 inches
This means 936 inches of fabric must be available at beginning of each month.
<u>Current Inventory:</u>
4 pieces that are each 22 1/2 (or 22.5) inches long. So total length of these fabrics = 4 x 22.5 = 90 inches
3 pieces that each 33 inches long. So total length of these fabrics = 3 x 33 = 99 inches
Therefore, the total length of current inventory = 90 + 99 = 189 inches.
<u>Length of fabric needed more:</u>
Length of fabric that must be bought more = 936 - 189 = 747 inches
It is given that the fabric must be bought in pieces are the 3 yards long. 3 yards is equal to 108 inches.
So, I have to buy pieces that are each 108 inches long and I need to complete 747 inches in total.
Therefore, the number of pieces that I need to buy =
Since, the pieces cannot be bought in fraction, I need to buy 7 complete pieces to replenish my stock.
- Principal=P=4000
- Time=T=2years
- Rate of interest =R=36
Interest be I
Now
Final value=4000+2880=6880