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Polynomials

Question

Add $5 square root of 2 plus 3 square root of 3 space and space 2 square root of 2 minus 5 square root of 3$

$7 square root of 2 minus 2 square root of 3$
$6 square root of 2 minus 3 square root of 3$
$6 square root of 2 minus 8 square root of 3$
$6 square root of 2 plus 8 square root of 3$

Solution

7 square root of 2 minus 2 square root of 3