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.

8 the square root of 2.

8 the square root of 6.

12 the square root of 2.

12 the square root of 6.

Answer 1

My solution to the problem is as follows:

sqrt(294) - sqrt(24) + sqrt(54) 
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6) 
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6) 
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6) 
= (7 - 2 + 3)*sqrt(6) 
= 8*sqrt(6) 
= sqrt(64)*sqrt(6) 
= sqrt(384)

= 8*sqrt(6)

Therefore, the answer is letter B, 8 square root of 6

I hope my answer has come to your help. God bless and have a nice day ahead!