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Maths MCQ - Square, Square Root and Cube Root

1 If a2 = 13 + 23 + 33, b2 = 13 + 23 + 33 + 43 and c2 = 13 + 23 + 33 + 43 + 53, then the value of a + b + c is
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If a2 = 13 + 23 + 33 = 1 + 8 + 27
⇒ a2 = 36 ⇒ a= 6
Now, b2 = 13 + 23 + 33 + 43
= 1 + 8 + 27 + 64 = 100
⇒ b = 10
And c2 = 13 + 23 + 33 + 43 + 53
= 1 + 8 + 27 + 64 + 125 = 225
⇒ c = 15
Then, a + b + c = 6 + 10 + 15 = 31
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