can someone please correct this for me thanks.
simplify:
7sqrt(7x) + 5 sqrt (7x)
My work:
(7+5)sqrt (7x)
My answer:
12sqrt (7x)
is this correct?
yup
so i don't have to take out the x from the radicand
Nope.
7x + 5x = 12x
No matter what "x" is.
To simplify the expression 7sqrt(7x) + 5sqrt(7x), you did it correctly by combining the coefficients outside the square root. The sum of 7 and 5 is indeed 12, so the simplified expression is 12sqrt(7x). Therefore, your answer is correct.
Regarding your second question about taking out the x from the radicand, in this case, you don't need to separate out the x because both terms inside the square root have the same radicand, which is 7x. Since the terms have identical radicands, they can be combined directly without any further simplification.