Homework SourseTo rationalize the denominator of 5square root 3 8 To ratio
To rationalize the denominator of 5/square root 3 - 8
To rationalize the denominator of 5/square root 3 - 8
Solution
5 / (sqrt 3 - 8)
to rationalize denominator we multiply top and bottom of the expression by conjugate of the denominator that is ( sqrt 3 + 8 )
5 / (sqrt 3 - 8) * ( sqrt 3 + 8 ) / ( sqrt 3 + 8 )
( 5 sqrt 3 + 40 ) / ( 3 - 64 )
= - ( 5 sqrt 3 + 40 ) / 61
