Question

rationalize the denominator 1/4+√3




MY ANSWER: 4-√3/13

Answer 1

Hey

Here is your answer,

=1/4+√3 x 4-√3/4-√3
=4-√3/(4)^2-(√3)^2
=4-√3/16-3
=4-√3/13

Yeah friend your answer is right...

Hope it helps you!

Answer 2

                                           ☺☺☺

Q. Rationalize the denominator 1 / ( 4 + √3 ).


Solution : Multiplying the numerator and denominator both by ( 4 - √3 ).


= 1( 4 - √3 ) / ( 4 + √3 ) ( 4 - √3 )


= ( 4 - √3 ) / { ( 4 ) ^2 - ( √3 ) ^ 2 }               [ ( a + b ) ( a - b ) = a^2 - b^2 ]


= ( 4 - √3 ) /  ( 16 - 3 )           { ( √3 )^2 = √3 x √3 = √( 3 x 3 ) = 3 }


= ( 4 - √3 ) / 13.

Your answer is exactly right.Keep it up.

                                               ☺☺☺