Question

5-5√3/2-√11 rationalize​

Answer 1

Explanation:

`(5 - 5 √(3) )/(2 - √(11) )`

To rationalize the surd multiply both the numerator and the denominator by

2 + √11

That's

`(5 - 5 √(3) )/(2 - √(11) ) * (2 + √(11) )/(2 + √(11) )`

Multiply the numerators and the denominator separately

That's

`((5 - 5 √(3) )(2 + √(11) ))/((2 - √(11))(2 + √(11) ) )`

Simplify

`(10 + 5 √(11) - 10 √(3) - 5√(33) )/(?)`

`(10 + 5 √(11) - 10 √(3) - 5 √(33) )/(4 - 2 √(11) + 2 √(11) - 11)`

`(10 + 5 √(11) - 10 √(3) - 5 √(33))/(4 - 11)`

`(10 + 5 √(11) - 10 √(3) - 5 √(33))/( - 7)`

We have the final answer as

`- (10 + 5 √(11) - 10 √(3) - 5 √(33))/(7)`

Hope this helps you