Question

. Find the value of m and n:if
5+2root3
‐-------- =m+nroot3
7+4root3​

Answer 1

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

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6