(√17+3√48)-(√17-3√48)

asked Jul 25, 2022 218k views

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5 votes

Answer:

Explanation:

$(√(17)+3√(48))-(√(17)-3√(48)) =√(17)+3√(48)-√(17)+3√(48)\\$

$= √(17)-√(17)+3√(48)+3√(48)\\\\= 0 + (3+3)√(48)\\\\=6√(48)\\$

Now factorize 48

$= 6√(2*2*2*2*3)\\\\=6*2*2√(3)\\\\=24√(3)$

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