SOLUTION: two times the square root of the sum of 3 consecutive even numbers is 24

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Question 972298: two times the square root of the sum of 3 consecutive even numbers is 24
Answer by Edwin McCravy(20056) About Me  (Show Source):
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two times the square root of the sum of 3 consecutive even numbers is 24
2sqrt%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%22%22=%22%2224

Divide both sides by 2

sqrt%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%22%22=%22%2212

Simplify under the radical:

sqrt%28n%2Bn%2B2%2Bn%2B4%29%22%22=%22%2212

sqrt%283n%2B6%29%22%22=%22%2212

Square both sides:

3n%2B6%22%22=%22%22144

3n%22%22=%22%22138

n%22%22=%22%2246

The consecutive even integers are 46,48,50
Edwin