Question

Simplify √x^2+6x+9 if x≥3

Answer 1

Answer:

simplified expression for √x^2+6x+9 if x≥3

is x+3

Step-by-step explanation:

$\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)$

but given that x≥3

then we have to negate solution -(x+3)\

Then simplified expression for √x^2+6x+9 if x≥3

is x+3