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.
Well, isn't that a happy little question! To find the smallest number that 7800 must be multiplied by to give a square number, we need to break down 7800 into its prime factors. Once we have those, we can pair them up to form perfect squares. By doing this, we can see that the smallest number 7800 must be multiplied by to give a square number is 3, because when we pair up all the prime factors, we have every factor in pairs except for one factor of 3. And just like that, we've painted a beautiful solution!
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.
Well, isn't that a happy little question! To find the smallest number that 7800 must be multiplied by to give a square number, we need to break down 7800 into its prime factors. Once we have those, we can pair them up to form perfect squares. By doing this, we can see that the smallest number 7800 must be multiplied by to give a square number is 3, because when we pair up all the prime factors, we have every factor in pairs except for one factor of 3. And just like that, we've painted a beautiful solution!
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 !
It is: 8 because 8*217800 = 1742400 which is a square number
22
5.
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
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.