if the sum s ,of three consecutive even numbers is a perfect square between 200 and 400 ,then the square root of s is
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Answered by
1
Step-by-step explanation:
here is the answer...
let the number be x,x+2 and x+4.
SO,
S=x+x+2+x+4 = 3x+6=3(x+2)
i.e, even number (as the sum of 3 even numbers is even).so S should be even and multiple of 3.
so, the even perfect square number between 200 and 400 are 256 (16)² and 324 (18)².
but from the above calculation,S should be multiple of 3.
256 is not multiple of 3 but 324 is the multiple
of 3.
so,S is equal to 324.
and hence the square root of 324 is 18
Answered by
1
Answer:
Step-by-step explanation:
i.e, even number (as the sum of 3 even numbers is even). so S should be even and multiple of 3. so, the even perfect square number between 200 and 400 are 256 (16)² and 324 (18)².
Step-by-step explanation:
Hope it's being helpful
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