Question

13. Rationalize the denominator and simplify:
2/2-√5
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Answer 1

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Step-by-step explanation:

13. Rationalize the denominator and simplify:  2/(2-√5)

⇒ Given, 2/2-√5

​ 2/2-√5  = [2*(2+√5)] / [(2-√5)*(2+√5)] --------- [multiply and divide by (2+√5)]

            = [2*(2+√5)] / [(2)² - (√5)²] -------- [(a-b)*(a+b) = a² - b²]

            = [2*(2+√5)] / [4-5]

            = [2*(2+√5)] / (-1)

            = -2(2+√5)

            = - (4+√5)