Home
Class 9
MATHS
(2+sqrt(3))/(2-sqrt(3))=a+b sqrt(3)...

(2+sqrt(3))/(2-sqrt(3))=a+b sqrt(3)

Promotional Banner

Similar Questions

Explore conceptually related problems

If both a and b are rational numbers then find the value of a and b in each of the following (a) (3+sqrt(5))/(3-sqrt(5))=a+b sqrt(5)(b)(3+2sqrt(3))/(5-2sqrt(3))=a+b sqrt(3)

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

In each of the following determine rational number a and b:(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2) (ii) (5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)) simplifies to 16-sqrt(3)(b)4-sqrt(3)(c)2-sqrt(3) (d) 2+sqrt(3)

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

If a=(2 + sqrt(3))/(2-sqrt(3)) and b = (2-sqrt(3))/(2+ sqrt(3)) , then the value of a^(2)+b^(2)+ab is :

( sqrt(2) + sqrt(3)) /( sqrt(2 - sqrt(3)) = a + bsqrt(3) , find the a and b