Question

Simplify the square root of (x^2 -6x+ 9) if x<3

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

Let's evaluate ~

`\qquad \sf  \dashrightarrow \: \sqrt{{x}^(2) - 6x + 9 }`

`\qquad \sf  \dashrightarrow \: \sqrt{{x}^(2) - 3x - 3x+ 9 }`

`\qquad \sf  \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }`

`\qquad \sf  \dashrightarrow \: √(( x- 3) (x - 3) )`

`\qquad \sf  \dashrightarrow \: \sqrt{( x- 3) {}^(2) }`

`\qquad \sf  \dashrightarrow \: {( x- 3) {}^{} }`

I hope you understood the procedure ~ let me know if you have doubts ~

Answered by James ~ ( Teeny fr )