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choli [55]
2 years ago
15

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

Mathematics
1 answer:
madam [21]2 years ago
8 0

\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 )

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