Answer:
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Step-by-step explanation:
Given number = 4851
It can be written as
4851 = 3×1617
4851 = 3×3×539
4851 = 3×3×7×77
4851 = 3×3×7×7×11
4851 = (3×3)×(7×7)×11
It is clear that We should divide the given number by 11 then we get a perfect square number.
4851/11 = 441
441 = 21×21
=> 441 = 21²
=> √441 = √(21²)
=> √441 = 21
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
→ Prime Factorization Method
Answer:
11 is the least number and the when you take the square root of the number you get 21
Step-by-step explanation:
The easiest way to solve this problem is guess and check.
First of all, a perfect square NEEDS to be a WHOLE number
Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.
This means you cannot divide by 2, 4,8...etc
We just have to guess and check odd numbers starting at 3.
4581/ 3 = 1527 sqrt(1527) = 39.07684737 decimal so not this one
4581/ 5 = 916.2 decimal so not this one
4581/ 7 = 654.4285714 decimal so not this one
4581/ 9 = 509 sqrt(509) = 22.56102835 decimal so not this one
4581/ 11 = 441 sqrt(441) = 21
This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.
