Question

simplify (√11-√5)^2​

Answer 1

${( \sqrt{11} - \sqrt{5} })^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ {( \sqrt{11)} }^{2} + {( \sqrt{5} })^{2} + 2 \sqrt{11} \sqrt{5} \\ \\ 11 + 5 + 2 \sqrt{55} \\ \\ 16 + 2 \sqrt{55} \\ \\ 2(8 + \sqrt{55} )$

Answer 2

Step-by-step explanation:

given,

(root11-root 5)²

=here we can apply (a-b)² formulaa =a²+b²-2ab

then, we get 11+5-2root55

answer

16-2root55