SOLUTION: sqrt 28 simplify by factoring

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Question 672595: sqrt 28 simplify by factoring
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The list of perfect square numbers (smaller than 28) are

1, 4, 9, 16, 25


Divide 28 by each number to get

28/1 = 28
28/4 = 7
28/9 = 3.11111111111111
28/16 = 1.75
28/25 = 1.12

So we can see that 4 is the largest perfect square factor because this is the largest divisor where we get a whole number as a result (the rest give us decimal numbers).

So 28 = 4*7 and this means...

sqrt%2828%29+=+sqrt%284%2A7%29

sqrt%2828%29+=+sqrt%284%29%2Asqrt%287%29

sqrt%2828%29+=+sqrt%282%5E2%29%2Asqrt%287%29

sqrt%2828%29+=+2%2Asqrt%287%29


So the answer is sqrt%2828%29+=+2%2Asqrt%287%29

Basically, sqrt%2828%29 simplifies to 2%2Asqrt%287%29