Math, asked by bhuvaniconic, 10 months ago

simplify 3√3 +6√2-6√3-4√2​

Answers

Answered by Mihir1001
3

\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}

\huge\boxed{2 \sqrt{2}  - 3 \sqrt{3} }

\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \:  \: explanation :}}}}

\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}

3 \sqrt{3}  + 6 \sqrt{2}  - 6 \sqrt{3}  - 4 \sqrt{2}

\LARGE{\underline{\mathtt{\textcolor{green}{To \:  \: find :-}}}}

Simplification

\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \:  \:  used :-}}}}

Simplification with square roots.

\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}

3 \sqrt{3}  + 6 \sqrt{2}  - 6 \sqrt{3}  - 4 \sqrt{2}

 = 3 \sqrt{3}  - 6 \sqrt{3}  + 6 \sqrt{2}  - 4 \sqrt{2}

 = (3 - 6) \sqrt{3}  + (6 - 4) \sqrt{2}

 = ( - 3) \sqrt{3}  + (2) \sqrt{2}

 =  - 3 \sqrt{3}  + 2 \sqrt{2}

 = 2 \sqrt{2}  - 3 \sqrt{3}

\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}

3 \sqrt{3}  + 6 \sqrt{2}  - 6 \sqrt{3}  - 4 \sqrt{2}  = 2 \sqrt{2}  - 3 \sqrt{3}

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