Question

( x=7-4 sqrt{3} )
( Rightarrow sqrt{x}+frac{1}{sqrt{x}} )
( Rightarrow sqrt{7-4 sqrt{3}}+frac{1}{sqrt{7-4 sqrt{3}}} )
( Rightarrow sqrt{(2)^{2}+(sqrt{3})^{2}-2(2)(sqrt{3})}+frac{1}{sqrt{(2)^{2}+(sqrt{3})^{2}-2(sqrt{3})(2)}} )
( Rightarrow sqrt{(2-sqrt{3})^{2}}+frac{1}{sqrt{(2-sqrt{3})^{2}}} )
( Rightarrow(2-sqrt{3})+frac{1}{(2-sqrt{3})} )
Taking LaM ( Rightarrow frac{(2-sqrt{3})^{2}+1}{(2-sqrt{3})} )
( Rightarrow frac{4+3-4 sqrt{3}+1}{2-sqrt{3}} )
( Rightarrow quad frac{8-4 sqrt{3}}{2-sqrt{3}} )

# 22. If x = 7-413 and the value of (1) 0 (3) 4 RRB NTPC (Phase I) 2016 (2) 1 (4) – 4

Solution