Question

A = 5 + 2√6,then what vl be √A + 1/√A ....plz tell the answer fast plz i request​

Answer 1

Answer:

answer is given below

Step-by-step explanation:

A = 5 + 2√6

A = 3+2 + 2√(2+3) =(√3)²+(√2)² + 2√(2)×(√3)

A= {(√3)+(√2)}²

√A= √3+√2

→√A+1/√A =(A+1)/√A

=( 5 + 2√6+1)/(√3+√2)

=( 6 + 2√6)(√3-√2)/{(√3+√2)(√3-√2)}

=( 6√3 −6√ 2+2√6√3−2√6√2)/{1}

=( 6√3 −6√ 2+ 2√(2×3)√3− 2√(2×3)√2)

=( 6√3 −6√ 2+ 2×3√2− 2×2√3)

=( 6√3 −6√ 2+ 6√(2)− 4√3)

=2√3

Answer 2

1/a =5-

$2 \sqrt{6 }$

and a = 5+

$\sqrt[2]{6}$

therefore a+1/a = 10