Question

If x=√5+2/√15-2
and y=√15-2/√15+2 then
find the value of (x+y)^2​

Answer 1

Answer:

$\frac{1444}{121}$

Step-by-step explanation:

Rationalizing x,

x=$\frac{19+4\sqrt{15} }{11}$

Rationalizing y,

y=$\frac{19-4\sqrt{15} }{11}$

And x+y=$\frac{19+4\sqrt{15} }{11}$+$\frac{19-4\sqrt{15} }{11}$

            =$\frac{38}{11}$

And $(x+y)^{2}$=$(\frac{38}{11} )^{2}$

                   =$\frac{1444}{121}$

Hope this helps. Good day to you.