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