Question

How do I simplify

√x^2+8x+16

Answer 1

\[\sqrt{x^2+8x+16}\]

Answer 2

can you factorise \(x^2+8x+16\)
into a perfect square \((x+a)^2\) ?

Answer 3

\[(x+a)^2=(x+a)(x+a)\\=x(x+a)+a(x+a)\\=x^2+ax+ax+a^2\\=x^2+2ax+a^2\]

Answer 4

tells me in the book that its |x+4|

Answer 5

so a=4 ?

Answer 6

Don't know, doesn't say what x or a are.

Answer 7

\[
\sqrt{x^2+2ax+a^2}=\sqrt{(x+a)^2}=|x+a|\]