What is the square root to this problem?

Question

Simplify the expression. sqrt 3(5 - sqrt 3) + 6 sqrt 3

A. 10 sqrt 

B. 11 - sqrt 3 - 3

C. 5 sqrt 3 + 15

D. 6 sqrt 3 + 5

 

 

 

Please help me!

Answer 1

(√3)*(5 - √3) + 6√3

 

= (√3)*5 - √3*√3 + 6√3

 

= 5√3 - 3 + 6√3

 

= 11√3 - 3

Answer 2

√3(5 - √3) + 6√3

 

 

= 5√3 - √3√3 + 6√3   (Distribute √3)

 

 

= 5√3 + 6√3 - 3   (√3√3 = 3)

 

 

= 11√3 - 3   (Combine like terms)