Question

if P is equals to under root minus under root 2 upon under root 3 + under root 2 and q is equals to under root 3 + under root 2 upon under root 3 minus under root 2 then find p square + Q square​

Answer 1

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GIVEN That

p=√3-2/√3+2

q=√3+2/√3-2

We know that,

(p + q)² = p² + q² + 2pq

=> (p + q)² - 2pq = p² + q²

=> p² + q² = (p + q)² - 2pq

Putting value of (p+q)² and pq in (1)

We get,

p² + q² = 100-2×1 = 100-2 = 98

=> p² + q² = 98