Question

Algebra two I need to show all work so please if you do help please help me with the work portion

Answer 1

8.

`\sqrt[3]{(7x^3)/(64y^4) } = \frac{(7x^3)^{(1)/(3)} }{(64y^4)^{(1)/(3) }} =\frac{7^{(1)/(3) }*x}{4^3^{(1)/(3) }y^4^{(1)/(3) }} =(x)/(4) \sqrt[3]{(7)/(y^4) }`

9.

`(4+√(6) )/(3√(6) ) =((4+√(6) )(√(6)) )/(3√(6) √(6) ) =(4√(6)+6 )/(3*6) =(4√(6) +6)/(18) =(2√(6) +3)/(9)`

10.

`(2 + 5√(2) )/(2-√(2) )= ((2 + 5√(2))(2+√(2)) )/((2-√(2))(2+√(2) ) ) = (4+ 2√(2) + 10√(2) +10 )/(2^2 -√(2)^(2) ) =(14 + 12√(2) )/(4-2) =(14 + 12√(2) )/(2) = 7 + 6√(2)`