Answer:
<h2><u>STEPS</u></h2>
-
Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>
<u>
Find the square root of 324</u>
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18
Call these numbers 
. Then 
or 
.
We want to maximize their product,
We could consider the derivative, but I think that's overkill. Instead, let's complete the square:
whose graph is a parabola opening downward with vertex at 
, so that the maximum product is 
.
Now if 
, it follows that 
.
100
You have 10 different flavors. Just multiply the ten with another ten.
35 in per day
The world record for the fastest growing plant belongs to certain species of the 45 genera of bamboo, which have been found to grow at up to 91 cm (35 in) per day or at a rate of 0.00003 km/h (0.00002 mph). According to the RHS Dictionary of Gardening, there are approximately 1,000 species of bamboos.
Answer:
your name is so cute
Step-by-step explanation:
