Question

how to simplify 2 sq r 54 - sq r 6

Answer 1

Do you know to do a factor tree on the number 54?

Answer 2

yes. it would be 3 radical 6 right?

Answer 3

Correct so the sqrt of 54 breaks down to 3 sqrt 6 and you have a 2 out front so you need to multiply that 2 by the 3 that you just brought out front to get 6 sqrt 6 - sqrt 6. Think of this as 6x - x which would be 5x .. but in this case 5 sqrt 6

Answer 4

so now its 6 sqrt 6 - sqrt 6?

Answer 5

yes.. and 6 sqrt 6 minus 1 sqrt 6 is 5 sqrt 6.



Same things as 6x minus 1x is 5x