Question

if x = 5+2√6 then x-1/√x is equal to​

Answer 1

Step-by-step explanation:

x=5+2√6

x= 2+3+2√2√3

x= (√2)²+(√3)²+2√2√3

x= (√2+√3)²

√x= (√2+√3)

x-1= 5+2√6-1= 4+2√6= 2√2(√2+√3)

∴ x-1/√x= 2√2(√2+√3)/(√2+√3)

x-1/√x= 2√2