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\ If\ x=8-sqrt(60),\ t h e n\ 1/2[sqrt(x...

`\ If\ x=8-sqrt(60),\ t h e n\ 1/2[sqrt(x)+2/(sqrt(x))]`

Text Solution

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`x=8-sqrt60`
`x=8-2sqrt15`
`x=5+3-2sqrt15`
`=(sqrt5-sqrt3)^2`
`sqrtx=sqrt5-sqrt3`
`1/2(sqrtx+2/sqrtx)-1/2((sqrt5-sqrt3)+2/(sqrt5-sqrt3)*((sqrt5+sqrt3)/(sqrt5+sqrt3))`
`1/2((sqrt5-sqrt3)*2(sqrt5+sqrt3)/(5-3))`
`1/2(sqrt5-sqrt3+sqrt5+sqrt3)`
...
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