Question

2 minus root 3 divided by 2 + root 3 equal to a + b root 3 solution for the sum

Answer 1

Answer:

a= 7

b= -4

Step-by-step explanation:

(2-√3)/(2+√3) = a+b√3

Rationalizing the above equation with 2-√3

(2-√3)(2-√3)/(2+√3)(2-√3)= a+b√3

(4-4√3+3)/(4-3) = a+b√3

7-4√3=a+b√3

comparing on both sides

a=7

b=-4.

Answer 2

The value of a=7 and b=-4.

Step-by-step explanation:

Given : Expression $\frac{2-\sqrt{3}}{2+\sqrt3}=a+b\sqrt3$

To find : Solve the expression ?

Solution :

$\frac{2-\sqrt{3}}{2+\sqrt3}=a+b\sqrt3$

Rationalize the denominator,

$\frac{2-\sqrt{3}}{2+\sqrt3}\times \frac{2-\sqrt{3}}{2-\sqrt3}=a+b\sqrt3$

$\frac{(2-\sqrt{3})^2}{2^2-(\sqrt3)^2}=a+b\sqrt3$

$\frac{4+3-4\sqrt3}{4-3}=a+b\sqrt3$

$\frac{7-4\sqrt3}{1}=a+b\sqrt3$

$7-4\sqrt3=a+b\sqrt3$

On comparing,

The value of a=7 and b=-4.

#Learn more

One by root 3 + root 2 minus 2 by root 5 minus root 3 minus 3 by root 2 minus root 5 simplified

https://brainly.in/question/3860515