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The square root of 200 ≈ 14.14213562373. If you were to use rational numbers, you could multiply 100 by 2.
Oh, dude, math time! So, to find out what percent 5 is of 200, you divide 5 by 200 (which gives you 0.025), then multiply that by 100 to get the percentage. So, 5 is 2.5% of 200. Like, whoa, mind blown, right?
To find the least number that should be multiplied to 200 to make it a perfect cube, we need to break down 200 into its prime factors, which are 2^3 * 5^2. To make it a perfect cube, we need to have each prime factor raised to a power that is a multiple of 3. Therefore, we need to multiply 2 * 5 = 10 to 200 to make it a perfect cube, resulting in 2000 (2^3 * 5^3).
This means 1/5 * 200 which is same thing as 1/5 * 200/1 To multiply 2 fraction you mulitply the numerators together and the denominators together. So 1/5 * 200/1 = 1*200/5*1 = 200/5 = 40.
Well, darling, if you want to get technical, 100 times greater than 2 is 200. It's not rocket science, honey. Just multiply 2 by 100 and you've got your answer. Math can be a piece of cake if you just use that noggin of yours.