Question

If a and b are rational numb
ers find the value of a and b in each of the following equation root 3 + root 2 by root 3 minus root 2 is equals to a + b root 6

Answer 1

Answer:

a=5 b=2

Step-by-step explanation:

(root 3 + root 2)/(root 3 - root 2) multiply numerator and denominator with (root 3 + root 2)

(root 3 + root 2)/(root 3 - root 2)

=((root 3 + root 2) * (root 3 + root 2)) / ((root 3 - root 2) *(root 3 + root 2))

=(root 3 + root 2)^2 /((root 3)^2 - (root 2)^2)

=( (root 3)^2 +(root 2)^2 + 2 * root 3* root 2 ) / (3-2)

=(3 + 2 + 2 *root 6) /1 here root 3* root 2=root (3*2)=root 6

=5 + 2 *root 6 = a + b root 6

comparing these two we get a=5 b = 2