simplify each of the following by rationalizing the denominator 6 minus 4 root 2 by 6 + 4 root 2
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Answer:
answer is 17 -12√2
Explanation:
(6 - 4√2)/(6 + 4√2)
(6 - 4√2)/(6 + 4√2) × (6 - 4√2)/(6 - 4√2)
(6 - 4√2)²/[(6)² - (4√2)²]
(36 + 32 - 48√2)/[36 - 32]
(68 - 48√2)/4
4(17 - 12√2)/4
= 17 - 12√2
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