Question

Rationalise the denominator of 4/2+V3+v7​

Answer 1

Answer:

-2(2 - √10)/3

Step-by-step explanation:

$\frac{4}{2+\sqrt{3} +\sqrt{7} } \\\\\frac{4}{2+\sqrt{10} } \\\\\frac{4}{2+\sqrt{10} } *\frac{2-\sqrt{10} }{2-\sqrt{10} } \\\\\frac{4(2-\sqrt{10} )}{(2+\sqrt{10} )(2-\sqrt{10} )} \\\\\frac{8-4\sqrt{10} }{(2)^{2} -(\sqrt{10} )^{2} } \\\\\frac{4(2-\sqrt{10} )}{4-10} \\\\\frac{4(2-\sqrt{10} )}{-6} \\\\\frac{-2(2-\sqrt{10} )}{3}$