`(1250)^(1/4) * 8^(1/4) * (75)^(1/3) * 3sqrt48` is simplified then the resultant

(1250)^((1)/(4))*8^((1)/(4))*(75)^((1)/(3))*3sqrt(48) is simplified then the resultant

1+(1)/(4) + (1.3)/(4.8) + (1.3.5)/(4.8.12)+…...=

Simplify : sqrt192 - 1/2 sqrt48 - sqrt75

Simplify: (1/4 + 1/5)/(1-3/8 xx 3/5)

Simplify 7+5 1/8-3 1/4

Show that tan 75^(@) = (sqrt3) +(1 )/( sqrt3 -1) = 2 + sqrt3. Hence deduce that tan 75^(@) - cot 75^(@) = 4 sin 60^(@).