Question

Evaluate 6 + \sqrt(14) + 2 - \sqrt(9) x 2

Answers are in the picture:

Answer 1

Hello from MrBillDoesMath!

Answer:

10 - 3 sqrt(2)

Discussion:

Let f(x) = 6 + sqrt(14 + x) - sqrt(9x).

Then

f(2) = 6 + sqrt(14 + 2) - sqrt(9*2)

= 6 + sqrt(16) - sqrt(9*2) => sqrt(16) = 4

= 6 + 4 - sqrt(9)*sqrt(2) => sqrt(9) = 3

= 10 - 3 sqrt(2)

which is the first choice.

Thank you,

MrB