Math, asked by ekamsaini13, 9 months ago

rationalise the dinominator
16 \ \sqrt{14 - 5}

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Answers

Answered by anjalika32
1

Answer:

the answer is :

 \sqrt{41}  + 5

Step-by-step explanation:

 \frac{16}{ \sqrt{41} - 5 }  =  \frac{16}{ \sqrt{41}  - 5}  \times  \frac{ \sqrt{41} + 5 }{ \sqrt{41} + 5 }  \\  =  >  \frac{16( \sqrt{41}  + 5)}{ { \sqrt{41} }^{2} -  {5}^{2}  }  \\  =  >  \frac{16( \sqrt{41} + 5) }{41 - 25}   \\  =  >  \frac{16( \sqrt{41}  + 5)}{16}  \\  =  \sqrt{41}  + 5

hope this helps.

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