If 5+2 root 3/7+4 root 3=a+b root 3,then find the values of a and b
Answers
Answered by
2
Answer:
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
therefore
11-6√3 = a+b√3
COMPARE BOTH SIDES
a= 11, b= -6
Answered by
0
Answer:
11 and - 6 is the value of a and b if \bold{\frac{(5+2 \sqrt{3})}{(7+4 \sqrt{3}) }=a-b \sqrt{3}.} (7+4. 3. ) (5+2. 3. ) =a−b. 3.
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