Question

5 + 2 root 6 whole square + 5 + 2 root 6 whole square + 5 + 2 root 6 whole square equals to
${(5 + 2 \sqrt{6)} }^{2} + {(5 + 2 \sqrt{6)} }^{2} + {5 + 2}^{2} \sqrt{6)}$

Answer 1

Let

√(5+2√6=√x+√y

5+2√6=x+y+2√xy

x+y=5,xy=6

From here get the value of x-y which will be 1.

You can do that by gettimg x2+y2=13

(x−y)2=1 From there it follows that

x−y=1