Math, asked by nehal5055, 8 months ago

✔3 -1 upon ✔3+1 .....rationalize the denominator ​

Answers

Answered by geetadahiya307
1

Answer:

root3-1

root3+1

3+1-2root3 upon 2

4-2root3 upon 2

2-root3 is ur answer

Step-by-step explanation:

hope it helpfull to u

Answered by DrNykterstein
3

 =  >  \:  \:  \frac{ \sqrt{3}  - 1}{ \sqrt{3} + 1 } \\  \\  =  >  \:  \:  \frac{ \sqrt{3}  - 1}{ \sqrt{3}  + 1}   \times   \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 }  \\  \\  =  >  \:  \:  \frac{ {( \sqrt{3} - 1 })^{2} }{( \sqrt{3} + 1)( \sqrt{3}  - 1) }  \\  \\  =  >  \:  \:  \frac{ {( \sqrt{3} })^{2} +  {(1)^{2} }   - 2 \sqrt{3} }{ {( \sqrt{3} })^{2}  -  {(1})^{2} } \\  \\  =  >  \:  \:  \frac{3 + 1 - 2 \sqrt{3} }{2}  \\  \\  =  >  \:  \:  \frac{4 - 2 \sqrt{3} }{2}   \\  \\  =  >  \:  \:  \frac{\cancel{2}(2 -  \sqrt{3} )}{\cancel{2}}  \\  \\  =  >  \:  \: 2 -  \sqrt{3}

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