Given m = 1 + √ 2, n = 1-2, find the value of the algebraic formula √ M & # 178; + n & # 178; - 3MN | Math enthusiast | Mathematical art

Given m = 1 + √ 2, n = 1-2, find the value of the algebraic formula √ M & # 178; + n & # 178; - 3MN

M = 1 + radical 2, n = 1-radical 2, then Mn = 1-2 = - 1
Radical (m ^ 2 + n ^ 2) - 3MN
=Root [(M + n) ^ 2-2mn] - 3 * (- 1)
=Root (2 ^ 2-2 * (- 1)) + 3
=Root 6 + 3

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