Question

if p = √3 -2 / √2 +1 ,then which of the following equals p-4?​

Answer 1

Answer:

- 3 - sqrt(2) + sqrt(3)

Step-by-step explanation:

Simplify the following:

sqrt(3) - 2/sqrt(2) + 1 - 4

Combine powers. (-2)/sqrt(2) = 2^(1 - 1/2) (-1):

sqrt(3) - 2^(1 - 1/2) + 1 - 4

Put 1 - 1/2 over the common denominator 2. 1 - 1/2 = 2/2 - 1/2:

sqrt(3) - 2^(2/2 - 1/2) + 1 - 4

2/2 - 1/2 = (2 - 1)/2:

sqrt(3) - 2^((2 - 1)/2) + 1 - 4

2 - 1 = 1:

sqrt(3) - sqrt(2) + 1 - 4

sqrt(3) - sqrt(2) + 1 - 4 = -3 - sqrt(2) + sqrt(3):

Answer:

-3 - sqrt(2) + sqrt(3)

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