Math, asked by sowmika1btan, 1 year ago

If a=1/7+4root3 b=1/7-4root3 find the value of( a )square +(b) square

Answers

Answered by prajapatyk
4
a=1/(7+4√3)

a=1/(7+4√3)×(7-4√3)/(7-4√3)

a=(7-4√3)/(7+4√3)(7-4√3)

a=(7-4√3)/(49-48)

a=7-4√3................................................1
and,
b=1/(7-4√3)

b=1/(7-4√3)×(7+4√3)/(7+4√3)

b=(7+4√3)/(7-4√3)(7+4√3)

b=(7+4√3)/(49-48)

b=7+4√3..............................................2
Now,
=a²+b²

=(7-4√3)²+(7+4√3)² (by eq1 and eq2)

=49+48-56√3+49+48+56√3

=98+96

=194
Hence , a²+b²=194

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