7+3root2 denominator 7-3root2
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Answer:
67 + 42√2
----------------
31
Step-by-step explanation:
7 + 3√2 7 + 3√2 7 + 3√2
------------- = ---------------- × ----------------
7 - 3√2 7 - 3√2 7 + 3√2
7(7 + 3√2) + 3√2 (7 + 3√2)
= ----------------------------------------
49 - 9 × 2
49 + 21√2 + 21√2 + 9 × 2
= -------------------------------------
49 - 18
67 + 42√2
= ----------------
31
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