find the rationalizing factor for the numerator of 5 + root 2/3-2 root 5
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5+root 2 / 3 - 2root 5
= 5+root 2 / 3 - 2root 5 × 3+root 5/3+rot5
= (5+root2)(3+2rot5) / (3)² -(2root5)²
= 15 + 10root 5 + 3root 2 + 2root 10/9-20
= 15 + 10root 5 + 3root 2 + 2root 10/-11
= 5+root 2 / 3 - 2root 5 × 3+root 5/3+rot5
= (5+root2)(3+2rot5) / (3)² -(2root5)²
= 15 + 10root 5 + 3root 2 + 2root 10/9-20
= 15 + 10root 5 + 3root 2 + 2root 10/-11
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