Question

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

Answer 1

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

Let's evaluate ~

$\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }$

$\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }$

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

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

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

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

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

Answered by James ~ ( Teeny fr )