simplify:

7sqrt(7x) + 5 sqrt (7x)

My work:

(7+5)sqrt (7x)

My answer:

12sqrt (7x)

is this correct?

It looks fine. Good work.

Thanks for asking.

To simplify the expression 7sqrt(7x) + 5sqrt(7x), you can combine the like terms. Both terms have the same square root expression, sqrt(7x).

When you add 7sqrt(7x) and 5sqrt(7x), you simply add the coefficients in front of the square root expression. This gives you (7 + 5)sqrt(7x) = 12sqrt(7x).

So, your answer of 12sqrt(7x) is correct! Well done!