Question

How would the fraction 5/1-sort 3. Be written if it’s denominator is rationalized using difference of squares?

Answer 1

`- (5 + 5 √(3) )/(2)`

Option A is the correct option.

Solution,

Multiply and divide by its conjugate.

`(5)/(1 - √(3) ) * (1 + √(3) )/(1 + √(3) ) \\ = (5(1 + √(3)) )/((1 - √(3) )(1 + √(3)) ) \\ = \frac{5 + 5 √(3) }{ {(1)}^(2) - { (√(3)) }^(2) } \\ = (5 + 5 √(3) )/(1 - 3) \\ = (5 + 5 √(3) )/( - 2) \\ = - (5 + 5 √(3) )/(2)`

hope this helps...

Good luck on your assignment..