Question

Activity b: Pythagoras Theorem.
2. Find a natural number n, such that 28 + 210 + 2n is a perfect square number​

Answer 1

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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