If (√7-1/√7+1)-(√7+1/√7-1)=a+b√7, then find the values of "a" and"b".. Created by tripathistuti105.

√7-1)=a+b√7, then find the values of "a" and"b".

May 2023 1 8 Report

If (√7-1/√7+1)-(√7+1/√7-1)=a+b√7, then find the values of "a" and"b".

*SOLUTION*

(√7-1/√7+1)-(√7+1/√7-1)=a+b√7

(√7-1)² - (√7+1)² / (√7-1)(√7+1) =a+b√7

7+1-2√7 - 7-1-2√7 /(7)²+ 1²= a+b√7

0+(-2)√7/ 3 = a+b√7

so, from the above equation,

we can find a = 0 and -2√7/3 =b=√7

b= -2/3

a = 0