(5+2√3)/(7+4√3)=(a+b√3) simplify a and b
Answers
Answered by
4
Hope you got the correct process
Attachments:
Ashutosh874:
hey if you find my answer to be correct then plz. mark me as brainliest
Answered by
2
Hi ,
LHS = (5 + 2√3)/( 7 + 4√3)
rationalize the denominator ,
=[(5+2√3)(7-4√3)]/[(7+4√3)(7-4√3)]
= [5( 7-4√3 )+2√3(7-4√3)]/[7²-(4√3)²]
= [35-20√3+ 14√3-24]/(49-48)
= 11-6√3 ----( 1 )
= a + b√3 -------( 2 )
Compare ( 1 ) and ( 2 ) , we get
a = 11 , b = -6
I hope this helps you.
: )
LHS = (5 + 2√3)/( 7 + 4√3)
rationalize the denominator ,
=[(5+2√3)(7-4√3)]/[(7+4√3)(7-4√3)]
= [5( 7-4√3 )+2√3(7-4√3)]/[7²-(4√3)²]
= [35-20√3+ 14√3-24]/(49-48)
= 11-6√3 ----( 1 )
= a + b√3 -------( 2 )
Compare ( 1 ) and ( 2 ) , we get
a = 11 , b = -6
I hope this helps you.
: )
its wrong both brackets are in division
Changed
Similar questions