There are ? different ways to represent the square root of 1000000 in the form a square root b, where a and b are positive integers. One way is 1 square root 1000000
A. 2
B. 4
C. 12
D. 16
About this question, i have no idea what they are trying to ask....
I don't understand the question
√1000000 = 1000
why express 1000 as a square root
did you mean?
= 1*√1000000
= √10*√100000
= √100*√10000
= √1000*√1000
yes
How about
1√1000000
2√250000
4√62500
5√40000
8√15625
10√10000
and so on
List 'em and count them
So in other words, how many factors of 1000000 are perfect squares?
The question is asking you to determine the number of different ways you can represent the square root of 1000000 in the form √(b), where b is a positive integer.
To solve this question, you need to find the factors of 1000000. The square root of 1000000 is 1000, which means that the factors appear in pairs. So, you can start by finding the factors of 1000:
1 x 1000 = 1000
2 x 500 = 1000
4 x 250 = 1000
5 x 200 = 1000
8 x 125 = 1000
10 x 100 = 1000
20 x 50 = 1000
25 x 40 = 1000
Therefore, there are 8 different ways to represent the square root of 1000000 in the form √(b). These represent the pairs of factors (a, b):
(1, 1000), (2, 500), (4, 250), (5, 200), (8, 125), (10, 100), (20, 50), (25, 40).
Now, let's examine the answer choices:
A. 2: This is not the correct answer because we found 8 different ways, not 2.
B. 4: This is also incorrect as we found 8 different ways, not 4.
C. 12: This is not the right answer either, as we found 8 different ways.
D. 16: This is not the correct answer because we found 8 different ways, not 16.
Therefore, the correct answer is none of the given options.