Let's call this number b
42000 = 24 x 3 x 53 x 7
We have 42000 x b = a2 and a is an integer
Then a = sqrt(42000 x b) = sqrt(b) x sqrt(24 x 3 x 53 x 7)
sqrt(24 x 3 x 53 x 7) = 22 x sqrt(3) x 5 x sqrt(5) x sqrt(7)
For a to be an integer sqrt(b) must be sqrt(3) x sqrt(5) x sqrt(7) at least
Thus b = 105
The smallest number that can multiply 68 to get a square number is 17. This is because 68 can be expressed as 2^2 * 17, which means it already contains a factor that makes it a square number when multiplied by 17. Therefore, 17 is the smallest number that can achieve this result.
15*2940 = 44100 and the square root of this is 210
find the smallest number by which 9408 must be multiplied to get a perfect square/ also find the square of the number
your answer is 3 147 * 3 = 441 21 * 21 = 441
How about 150*6 = 900 which is a perfect square because 30*30 = 900
The smallest number that can multiply 68 to get a square number is 17. This is because 68 can be expressed as 2^2 * 17, which means it already contains a factor that makes it a square number when multiplied by 17. Therefore, 17 is the smallest number that can achieve this result.
Square number.
15*2940 = 44100 and the square root of this is 210
find the smallest number by which 9408 must be multiplied to get a perfect square/ also find the square of the number
55
A square number is the result of a number multiplied by itself. 3 x 3 = 9 9 is a square number.
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
your answer is 3 147 * 3 = 441 21 * 21 = 441
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.
32 is the smallest two-digit number that can be multiplied by itself to give a four-digit number. (32x32)=1024
The smallest square number qreater than 1 is 2. * * * * * 2 is not a perfect square number.