Question

find the value of A and B if root 2 + root 1 upon root 2 minus root 1 minus root 2 minus root 1 upon root 2 + root 1 is equal to a + root 2 b

Answer 1

Answer:

a=0 and b=4

Step-by-step explanation:

(root 2+root 1/root 2-root 1)-(root 2-root 1/root 2+root 1)

=[(root 2+ root 1)^2/(root 2)^2-(root 1)^2]-[(root 2- root 1)^2/(root 2)^2-(root 1)^2]

=[(2+1+2 root 2)/1]-[(2+1-2 root 2)/1]

=3+2 root 2-3+ 2 root 2                   [3 gets cancel 3-3=0]

=4 root 2

a+b root 2=4 root 2

hence, a=0, and b= 4

hope it helped u!!!!!1

regards,

Rashi