Find the value of a and b in the above equation?
please answer fast
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Answer:
11, 6
To rationalize the denominator,
multiply 7-4√3 on denominator and numerator
Use F.O.I.L to expand.
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Ourside
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Denominator (7 + 4√3) × (7 - 4√3) = 7² - (4√3)² = 49 - 48 = 1
Numerator (5 + 2√3) × (7 - 4√3) = 35 - 20√3 + 14√3 - 24 = 11 - 6√3
11 - 6√3 = a - b√3
a is 11 and b is 6.
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