Question

Rationalise the denominator and simplify
5√3+√2/√3+√2 and the answer is 13-4√6. I want the steps

Answer 1

Hii !!


( 5√3 + √2 ) / ( √3 + √2 )


Rationalising the denominator ( √3 + √2 ).



=> ( 5√3 + √2 ) / ( √3 + √2 ) × ( √3 - √2 ) / ( √3 - √2 ).



=> ( 5√3 + √2 ) ( √3 - √2 ) / ( √3 + √2 ) ( √3 - √2 ).



=> 5√3 ( √3 - √2 ) + √2 ( √3 - √2 ) / ( √3)² - ( √2 )²



=> 15 - aa√6 + √6 - 2 / 3 - 2



=> 15 - 4√6 - 2 / 1


=> 13 - 4√6 [ Answer ]