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Step-by-step explanation:
a=5+2√6
1/a = 1/(5+2√6)
After rationalizing
1/a = (5-2√6)/(5²-(2√6)²)
= (5-2√6)/(25-24)
= 5-2√6
a² + 1/a² = (5+2√6)² + (5-2√6)²
=(25+20√6+24)+(25-20√6+24)
=49+20√6+49-20√6
=98
HOPE THIS IS HELPFUL TO YOU
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