Question

Simplify √x^2+6x+9 if x≥3

Answer 1

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

is x+3

Explanation:

`√(x^2+6x+9) \\=>√(x^2+3x+3x+9) \\=>√(x(x+3)+3(x+3)) \\=>√((x+3)(x+3)) \\=>√((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