Am i correct on the question above?

-3/2 + 1/2 sqrt(5)

Step-by-step explanation:

sqrt(2) - sqrt(10)

sqrt(2) + sqrt(10)

To clear the square root in the denominator, we multiply by the conjugate

sqrt(2) - sqrt(10).  What we do to the bottom, we do to the top

sqrt(2) - sqrt(10)        sqrt(2) - sqrt(10)

*

sqrt(2) + sqrt(10)          sqrt(2) - sqrt(10)

sqrt(2) * sqrt(2) -sqrt(2)sqrt(10) -sqrt(2) sqrt(10) +sqrt(10)sqrt(10)

sqrt(2) * sqrt(2) -sqrt(2)sqrt(10) +sqrt(2) sqrt(10) - sqrt(10)sqrt(10)

Combining like terms

sqrt(2) * sqrt(2) -2sqrt(2)sqrt(10) -sqrt(2) sqrt(10) + sqrt(10)sqrt(10)

sqrt(2) * sqrt(2)  - sqrt(10)sqrt(10)

2 - 2 sqrt(20) +10

      2-10

12 - 2 sqrt(20)

-8

sqrt(20) = sqrt(4) sqrt(5) = 2sqrt(5)

Replacing sqrt(20)

12 - 2 *2 sqrt(5)

-8

12 -4 sqrt(5)

-8

Factor out a 4

4(3 -sqrt(5))

  4 (-2)

Canceling the 4

3-sqrt(5)

-2

Breaking the fraction into 2 pieces

-3/2 + 1/2 sqrt(5)

step-by-step explanation:

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: