Question

What is the exact value of the expression the square root of 294. − the square root of 24. + the square root 54.? Simplify if possible.
A. 8the square root of 2.
B. 8the square root of 6.
C. 12the square root of 2.
D. 12the square root of 6.

Answer 1

294 can be broken down into 7^2 * 6
so √294 it can be written as 7√6
24 can be broken down to 2^2 * 6
so √24 can be written as 2√6
and 54 can be broken down to 3^3 * 6
so √54 can be written as 3√6
then you just add all these together: 7√6 + 2√6 + 3√6  =  12√6
so your answer is D