Question

P=5+2 root6 and x=1/p then find p 2 +x 2

Answer 1

p = 5 + 2 √6 

x = 1/p   . Rationalize the denominator in x.

$x=\frac{1}{p}=\frac{1}{5+2\sqrt6}=\frac{1}{5+2\sqrt6}*\frac{5-2\sqrt6}{5-2\sqrt6}\\\\=\frac{5-2\sqrt6}{25-2^2*6}\\\\x=5-2\sqrt6\\\\p^2+x^2=(p+x)^2-2px\\\\=10^2-2*(5+2\sqrt6)(5-2\sqrt6)\\\\=100-2*(25-24)\\\\=98$

Answer 2

Answer: 98

Step-by-step explanation: