Question

rationalise 2/√11-3​

Answer 1

Answer:

$\frac{2}{(\sqrt{11}-3)}=\frac{(\sqrt{11}+3)}{4}$

Step-by-step explanation:

$\frac{2}{(\sqrt{11}-3)}\\=\frac{2(\sqrt{11}+3)}{(\sqrt{11}-3)(\sqrt{11}+3)}\\=\frac{2(\sqrt{11}+3)}{(\sqrt{11})^{2}-3^{2}}\\=\frac{2(\sqrt{11}+3)}{11-3}\\=\frac{2(\sqrt{11}+3)}{8}\\=\frac{(\sqrt{11}+3)}{4}$

Therefore,

$\frac{2}{(\sqrt{11}-3)}=\frac{(\sqrt{11}+3)}{4}$

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