Question

1/√5-2 rationalise the denominator​

Answer 1

Answer:

√5+2

Step-by-step explanation:

1/√5-2

⇒1/√5-2x √5+2/√5+2

⇒√5+2/5-4

⇒√5+2/1=√5+2

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Answer 2

Answer -

To rationalise see below -

$\sf \frac{1}{ \sqrt{5} - 2} \\ \\ \sf \frac{1}{ \sqrt{5} - 2 } \times \frac{ \sqrt{5} + 2}{ \sqrt{5} + 2} \\ \\ \sf \frac{ \sqrt{5} + 2}{( \sqrt{5}) {}^{2} - (2)^{2}} \\ \\ \sf \frac{ \sqrt{5} + 2 }{5 - 4} \\ \\ \bf \sqrt{5} + 2$

Hence, the answer is √5 + 2.