How about 150*6 = 900 which is a perfect square because 30*30 = 900
To find the smallest number that 360 needs to be multiplied by to get a perfect square, we first factorize 360 into its prime factors: 2^3 * 3^2 * 5. To make it a perfect square, we need to pair up these factors. Since 2 and 5 are not paired, the smallest number we need to multiply 360 by is 5, making it 1800 (2^3 * 3^2 * 5^2), which is a perfect square.
Oh, dude, let me break it down for you. So, 7800 is 2^3 * 3 * 5^2 * 13. To make it a square number, each prime factor needs to appear an even number of times. So, the smallest number it must be multiplied by is 2 * 5 * 13, which is 130. Easy peasy lemon squeezy!
2
Try: 2 * * * * * Or 1/13500 !
the correct answer is 15. factorize the number. In this case it will be 2*2*3*5. As you can notice, we need 1 more 3 and 5 to make it a perfect square. So the answer is 15. 15*60=900 900 square root =30
How about 150*6 = 900 which is a perfect square because 30*30 = 900
To find the smallest number that 360 needs to be multiplied by to get a perfect square, we first factorize 360 into its prime factors: 2^3 * 3^2 * 5. To make it a perfect square, we need to pair up these factors. Since 2 and 5 are not paired, the smallest number we need to multiply 360 by is 5, making it 1800 (2^3 * 3^2 * 5^2), which is a perfect square.
Oh, dude, let me break it down for you. So, 7800 is 2^3 * 3 * 5^2 * 13. To make it a square number, each prime factor needs to appear an even number of times. So, the smallest number it must be multiplied by is 2 * 5 * 13, which is 130. Easy peasy lemon squeezy!
You can make a multiple out of any number. Thus, the question becomes, "What is the smallest number?" There isn't one. Numbers continue in both directions infinitely. The smallest negative number you can think of can be multiplied by two. Then, so can that product.
2
Try: 2 * * * * * Or 1/13500 !
22
It is: 8 because 8*217800 = 1742400 which is a square number
5.
One possible answer is 1/2550, which will make the product 1: 1 is a perfect square. Alternately, you could try 102, but that is far from the smallest.
24 = 2 x 2 x 2 x 3 = 22 x 2 x 3 To get a square number, the smallet whole number is 6 (2 x 3) to obtain squared members : 22 x 22 x 32 = 144 = 122