Math, asked by st3v3, 6 months ago

Simplify 6/3√2-2√3 pls help

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Answered by ItzDαrkHσrsє
25

\large{\underline{\sf{\purple{Given-}}}}

 \frac{6}{3 \sqrt{2} - 2 \sqrt{3}  }

\large{\underline{\sf{\blue{To \: Find-}}}}

\sf{Ans \: Of \: Simplification}

\large{\underline{\sf{\red{Solution-}}}}

\sf{⇢  \frac{6}{3 \sqrt{2} - 2 \sqrt{3}  \times  \:  \frac{3 \sqrt{2 + 2 \sqrt{3} } }{3 \sqrt{2 + 2 \sqrt{3} } }  } }

\sf{⇢ \frac{6(3 \sqrt{2 + 2 \sqrt{3)} } }{6 \times 3 - 6 \times 2} }

\sf{⇢ \frac{6(3 \sqrt{2 \:  +  \: 2 \sqrt{3)} } }{18 - 12} }

\sf{⇢\frac{\cancel{18 \sqrt{2} -12 \sqrt{3} }}{\cancel{6}}}

\boxed{\sf\green{⇢3 \sqrt{2 \:  +  \: 2 \sqrt{3} } }}

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