Question

a=8+3√7
b= 1/a
Find a^2 +b^2

Answer 1

Answer:

Answer in the attachment

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Answer 2

Step-by-step explanation:

Here we have

a = 8+3√7

and b= 1/a

so we can write it as 1/8+3√7

now rationalise 1/a by multiplying numerator and denominator by 8-3√7

now you'll get 8-3✓7 = b

Now we know (x+y) whole square = x^2 + y^2 +2xy

So here

We need to find a^2 + b√2

So be have

b = 1/a

hence (a + 1/a) whole square = a square + b square + 2

ans = 254