find the square route of 400 using factorisation method
Answers
One factor is 1 and the other is the number itself. Multiplying these numbers together, we get 20. Hence, 20 is the square root of 400.
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Answer:
See it is very easy
Prime Factorisation of 400 is 2 x 2 x 2 x 2 x 5 x 5
then u count how many numbers are there
There are only numbers of 2 and 5 only
Now see how many times the number ''2'' occurs- 4 times
Now see how many times ''5'' occurs- 2 times
Now for to find square root we consider 2 times any number repeated
So 2 occurs 4 times
Thus
2x2x2x2
So 2 will be considered 2 times as in the terms of 2 it occurs 2 times
So 2 x 2
Then we will see how many times 5 occurs
So it occurs 2 times during prime factorisation
So we will take 5 only 1 times
Note:- When there will be 2 times any number then we will take one of it
So now, we have
2 x 2 x 5= 20
Hope u understood
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