Math, asked by harishrao2476, 8 months ago

What would be the denominator after rationalizing 7/(3√3 - 2√2)?​

Answers

Answered by asj71718
1

Denominator = 19

Step-by-step explanation:

 \frac{7}{3 \sqrt{3} - 2 \sqrt{2}  }

Rationalising the denominator,

 \frac{7}{3 \sqrt{3} - 2 \sqrt{2}  }  \times  \frac{3 \sqrt{3} + 2 \sqrt{2}  }{3 \sqrt{3}  + 2 \sqrt{2} }  \\  \\  \frac{7(3 \sqrt{3} + 2 \sqrt{2} ) }{ {3 \sqrt{3} }^{2} -  {2 \sqrt{2} }^{2}  }

 \frac{21 \sqrt{3} + 14 \sqrt{2}  }{27 - 8}  \\  \\  \frac{21 \sqrt{3}  + 14 \sqrt{2} }{19}

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