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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.

Verified Answer :

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) 
= 7sqrt(6) - 2sqrt(6) + 3sqrt(6) 
= (7 - 2 + 3)sqrt(6) 
= 8sqrt(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!

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