Question

∛(√(3x+1)) how do you simplify this?

Answer 1

do you know how to write square root as an index, i.e.:\[\sqrt{x}=x^{?}\]

Answer 2

x^1/2

Answer 3

correct, similarly, do you know how to write cube roots in index form?

Answer 4

x^1/3 ?

Answer 5

perfect, so you can rewrite your expression as:\[\sqrt[3]{\sqrt{3x+1}}=\sqrt[3]{(3x+1)^{\frac{1}{2}}}=((3x+1)^{\frac{1}{2}})^{\frac{1}{3}}\]and then use the law of indexs to simplify this

Answer 6

thank you!!

Answer 7

yw :)