Activity b: Pythagoras Theorem.
2. Find a natural number n, such that 28 + 210 + 2n is a perfect square number
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28 + 210 + 2n is a perfect square.
=⟩ 238 + 2n is a perfect square.
=⟩ 238 + 2n is greater than 238.
=⟩ 238 + 2n = 256 (Since, 256 is the
smallest perfect square
which is greater than 238)
=⟩ 2n = 256 - 238
=⟩ 2n = 18
=⟩ n = 18/2
=⟩ n = 9
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