Question

Determine rational numbers p and q if
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Answer 1

Step-by-step explanation:

first of all we rationalis this number then compare both side

now we start

(7+√5)(7+√5)-(7-√5)(7-√5)/(7)²-(5)² =p-7√5q

here we take lcm

then (7+√5)²-(7-√5)²/49-25 = p-7√5q

now we use identity a²-b²=(a+b)(a-b)

now

(7+√5+7-√5)(7+√5-7+√5)/24 = p-7√5q

(14)(2√5)/24= p-7√5q

now 28√5/24 =p-7√5q

7√5/6 = p-7√5

now comparing both side

we get p=0

and q=-1/6

Answer 2

Answer:

Refers to the above attachment .

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