Answer:
-5(1 + √3)/2
Step-by-step explanation:
To rationalize 5÷1-√3, we multiply both the numerator and the denominator by the conjugate of 1 - √3 = 1 + √3.
So 5 ÷ (1 - √3) = 5/(1 - √3), we multiply by the conjugate of the denominator, we have
5/(1 - √3) × (1 + √3)/(1 + √3) = 5(1 + √3)/[(1 - √3) × (1 + √3)]
= 5(1 + √3)/(1² - (√3)²)
= 5(1 + √3)/(1 - 3)
= 5(1 + √3)/-2
= -5(1 + √3)/2
