Question

rationalise the denominator 1/✓5-4​

Answer 1

Answer:

root 5 +4/-11 ( correct answer)

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Answer 2

Answer:

$\longrightarrow \: \frac{ \sqrt{5} + 4 }{11}$

Step-by-step explanation:

$\frac{1}{ \sqrt{5} - 4 }$

$\: \longrightarrow \: \frac{1}{ \sqrt{5} - 4} \times \frac{ \sqrt{5} + 4}{ \sqrt{5} + 4}$

$\: \longrightarrow \frac{ \sqrt{5} + 4 }{( \sqrt{5} {)}^{2} - (4 {)}^{2} }$

$\: \longrightarrow \frac{ \sqrt{5} + 4}{5 - 16}$

$\: \longrightarrow \: \frac{ \sqrt{5} + 4}{11} \: Ans.$