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= 5√3 + (15/√3 * √3/√3) - 2√75
= 5√3 + 15√3 / 3 - 2√75
multiple by 3
15√3 + 15√3 - 6√75
= 15√3 + 15√3 - 6.√25.√3
= 15√3 + 15√3 - 6.5√3
= 15√3 + 15√3 - 30√3
= 0
divide by 3 to make it back
= 0 / 3
= 0
===============
3√50 - 4√32 +√(1/2)
= 3.√25.√2 - 4√16.√2 + 1/√2
= 3.5√2 - 4.4√2 + (1/√2 * √2/√2)
= 15√2 - 16√2 + √2/2
multiple by 2
30√2 - 32√2 + √2
= -√2
divide by 2 to make it back
= -√2/2
= -1/2√2