Explanation

To simplify 5/(2 - √3), rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator (2 + √3):

Step 1: Multiply by the conjugate

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

= (5(2 + √3)) / ((2 - √3)(2 + √3))

Step 2: Simplify the denominator

(2 - √3)(2 + √3) = 2² - (√3)²

= 4 - 3

= 1

Step 3: Simplify the expression

(5(2 + √3)) / 1

= 10 + 5√3