Question

Please answer if a = 7 - 4 root 3 find the value of root a + 1 / root a

Answer 1

Solution :-

a = 7 -4√3

1/a = 1/( 7 -4√3)

= (7-4√3)/(7-4√3)(7+4√3)

=(7+4√3)/(49-48) = (7+4√3)

so, √a = √( 7 -4√3)

= √(2²+√3²-2.2√3)

=√(2 -√3)²

= ( 2 -√3)

same hare

1/√a = √(2² +√3² +2.2√3)

=√(2+√3)²

=(2 +√3)

now

√a + 1/√a = (2 -√3) + (2 + √3) = 4

==============

I hope it's help u ..... !!!✌️