if 5+2root3/5-2root3 a+b root 3 find the value of a and b
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Answer:
a = 11, b = -6.
Step-by-step explanation:
LHS = (5+2√3) / (7+4√3)
= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]
= [ 35-20 √3+14√3- 24 ] / [ 7²- ( 4 √ 3 )² ]
= [ 11 - 6 √ 3 ] / [49 - 48]
=11 - 6 √ 3
∴ 11 - 6 √ 3 = a + b √ 3
CONSIDER ON TWO SIDES a = 11 , b = -6
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