Rút gọn A

1/ To simplify the expression P, we can start by simplifying each individual square root term:

- √(5 + √3)
- √(5 - √3)
- √(5 + √22)
- √(11 - 6√2)

Next, we can simplify the expression inside the brackets:

- (√(5 + √3) + √(5 - √3)) / √(5 + √22)

Finally, we can simplify the entire expression P:

- [ (√(5 + √3) + √(5 - √3)) / √(5 + √22) ] + √(11 - 6√2)

2/ To simplify the expression A, we can start by simplifying each individual square root term:

- √(16x)
- √(x - 3)
- √(x + 1)
- √(x + 3)
- √(x + 7)
- √(x - 1)

Next, we can simplify the expression inside the brackets:

- (3x + √(16x) - 7/x + 2√(x - 3)) - (√(x + 1) / √(x + 3)) - (√(x + 7) / √(x - 1))

Finally, we can simplify the entire expression A:

- [ (3x + √(16x) - 7/x + 2√(x - 3)) - (√(x + 1) / √(x + 3)) - (√(x + 7) / √(x - 1)) ] / [2 - (√x / √(x - 1))]

a) To simplify A, we can start by rationalizing the denominators of the square root terms:

- [ (3x + √(16x) - 7/x + 2√(x - 3)) - (√(x + 1) / √(x + 3)) - (√(x + 7) / √(x - 1)) ] / [2 - (√x / √(x - 1))]

b) To find x such that A = -6, we can substitute A with -6 in the simplified expression of A and solve for x.