Question

find the smallest number by which the given number must be divided to make it a perfect square a)8118 b)3920
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Answer 1

Answer: a) 451

              b) 5

Step-by-step explanation:
Firstly you have to understand that a perfect square, written in index notation, (which is the prime factors of the number to the power of something, search online) the numbers in the index notations or their power on the top right, written small, must be even.

So, the index notation of 8118 is 2x3(2)x11x41 (I’ll use brackets to represent the number’s power, which is how many times the number is multiplied). Since 2 is already an even number, it’s alright. 11 and 41 are not even numbers, so we have to divide them to take them away from the number. So the smallest number that 8118 can be divided by to get a perfect square would be 11x41 (the numbers that have to be taken away), and 11x41 is 415, thus answer for a) is 415.

Same case for b). The index notation of 3920 is 5x2(4)x7(2). Here, only 5 is not an even number and is not to the power of an even number, we need to divide 5 away, thus the smallest number that 3920 is divided by to get a square would be 5.

Answer 2

Answer:

Find the above attached as you requested.

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