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

How would the fraction 5/1-sort 3. Be written if it’s denominator is rationalized-example-1

1 Answer

3 votes

Answer:


- (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..

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