Rationalize
7 + 3√2÷
5-4√2
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Answer:
given: (7+3√2)÷(5-4√2)
Step-by-step explanation:
On rationalising the denominator;
=[(7+3√2)/(5-4√2)]×[(5+4√2)/(5+4√2)]
=[(7×5)+(7×4√2)+(3√2×5)+(3√2×(-4√2))]
[(5)²-(4√2)²]
=[35+28√2+15√2-24]
25-32
=(11+43√2)
-7
= (–11–43√2)/7 is the answer.
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