Question

If a = 5+2√6 and b = 1 / a , then what will be the value of a² + b² ?​

Answer 1

answer is 98 hope it is helpful to you

Answer 2

Answer:

a=5+2√6

b=1/5+2√6

a²+b²

(5+2√6)²+(1/5+2√6)²

(25+24+20√6)+(1/(25+24+20√6))

49+20√6+(1/49+20√6)

((49+20√6)²+1)/(49+20√6)

(2401+240+40√6+1)/(49+20√6)

$\frac{2642+40\sqrt{6} }{49+20\sqrt{6} }$

you can rationalize it for furthur simplification!

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