35) Find the value of a and b if 5+2√3÷
7+4√3 =a-b√3
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Answer:
5+2√3/7+4√3=a-b√3
to find a. and. b
first rationalize the denominator
5+2√3/ 7+4√3 × 7-4√3/ 7-4√3
= 35 -20√3 + 14√3 -24/ (7)^2 - (4√3)^2
= 11- 6√3/ 49- 48
= 11- 6√3/1
therefore
a= 11
b= -6
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