if both a and b are ratoinal numbers find the value of a and b in each of the following ✓3-1/✓3+1=a+b✓3

June 21, 2021

By Everleigh

1 thought on “if both a and b are ratoinal numbers find the value of a and b in each of the following ✓3-1/✓3+1=a+b✓3<br /”

1. Answer:

   3+✓2/3-✓2=a+b✓2

   =>( 3+✓2)(3+√2)/(3-✓2)(3+√2)= a+b√2

   =>( 9+6√2+2)/ 7 =a+b√2

   => 11+ 6√2 /7 = a+b√2

   => 11/7 + 6/7 . √2 = a+b√2

   comparing the both side we get a = 11/7 and b= 6/7

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