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x=√(8+4√3)
then x-4/x =
substitute x value in this
u will get (4+4√3)÷√(8+4√3)
by taking 2 common from denominator we get(4+4√3)÷2(√(2+√3)
now by dividing the equation we get (2+2√3)÷√(2+√3)
this can be written √((2+2√3)²÷2+√3)
multiply and divide this with (2-√3)
you will get √((16+8√3)×(2-√3))÷(2+√3)(2-√3)
by expanding this we get √8/1
this can be written as √(4×2)
so therefore answer is 2√3
hope you would gain some knowledge from this
u can ask your quries
then x-4/x =
substitute x value in this
u will get (4+4√3)÷√(8+4√3)
by taking 2 common from denominator we get(4+4√3)÷2(√(2+√3)
now by dividing the equation we get (2+2√3)÷√(2+√3)
this can be written √((2+2√3)²÷2+√3)
multiply and divide this with (2-√3)
you will get √((16+8√3)×(2-√3))÷(2+√3)(2-√3)
by expanding this we get √8/1
this can be written as √(4×2)
so therefore answer is 2√3
hope you would gain some knowledge from this
u can ask your quries
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