Question

simplify each of the following by rationalising denominator (1) 1/3 root2-2 root 3​

Answer 1

Answer:

Step-by-step explanation:

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\frac{1}{3 \sqrt{2}  - 2 \sqrt{3} }  \\  

On rationalizing the denominator we get,

=  \frac{1}{3 \sqrt{2}  -  2\sqrt{3} }  \times  \frac{ 3\sqrt{2} + 2 \sqrt{3}  }{3 \sqrt{2} + 2 \sqrt{3}  }  \\  \\  =  \frac{3 \sqrt{2} + 2 \sqrt{3}  }{ {(3 \sqrt{2} )}^{2}  -  {(2 \sqrt{3} )}^{2} }  \\  \\  =  \frac{3 \sqrt{2} + 2 \sqrt{3}  }{18 - 12}  \\  \\  =  \frac{3 \sqrt{2}  + 2 \sqrt{3} }{6}  

Hope this helps ☺

Answer 2

Answer:

$your \: answer \: is \: 3 \sqrt{2} + 2 \sqrt{3}$