Answer: 205,209
Step-by-step explanation:
We want to find a perfect cube that is closest to the number N = 205,632
A perfect cube number is a number such that the square root is a whole number.
Now, to search this number we must take the square root of N:
n = √(205,632) = 453.47
Now, we can round it down or up and get whole numbers, and the squares of those whole numbers will be perfect squares that are near 205,632, lets start with rounding down.
n = 453
the square of 453 is:
453^2 = 205,209
If instead we round up the 453,47, we would get:
n = 454
and the square will be
n = 454^2 = 206,116
Now, to see which one is closser to N, we can take the differences:
205,632 - 205,209 = 423
206,116 - 205,632 = 484
so if we take n = 453 we are closser no N, then the perfect square that is closest to 205,632 is 205,209
