Simplify the following expression.

Question

√3(9-√ 3) +7√3

 

Can you simplify this expression and tell me how you did it because I feel totally lost at this point :(

Answer 1

I got 16√3 - 3.

 

The first step is to distribute √3 throughout the parentheses to give:

 

9√3 - 3 + 7√3

 

Now, you simply add 9√3 and 7√3 to get 16√3, leaving you with:

 

16√3 - 3.

 

Something I've always found helpful when explaining how to add square roots:

 

9 apples + 7 apples = 16 apples.

 

9x + 7x = 16x.

 

9√3 +7√3 = 16√3.

 

Hope that helps :)