Question

Help would be most appreciated.

Answer 1

\[3\sqrt{9 \sqrt[4]{3}}\]

Answer 2

Can I have like, all the steps. o_O

Answer 3

rewrite the innermost radical

\[9\sqrt[4]{3} = 3^2 \times 3^{\frac{1}{4}} = \]

remember multiplying the same base, add the powers...

Answer 4

My bad... @campbell_st is right i missed the 4 on the square root

Answer 5

when you get the answer

\[3^{\frac{a}{b}}\]

then apply the power of a power rule... which is multiply the powers

\[(3^{\frac{a}{b}})^{\frac{1}{3}}\]

lastly multiply the answer by

\[3^1\]

again adding the powers

Answer 6

\[3^{\frac{ 17 }{ 8 }}\]

Answer 7

\[\large
3\sqrt{9 \sqrt[4]{3}} ~~\text{ OR }~~ \sqrt[3]{9 \sqrt[4]{3}}
\]

Answer 8

First one.

Answer 9

that's correct, well done

Answer 10

Thanks. :)

Answer 11

so in radical form it's

\[\sqrt[8]{3^{17}}\]

Answer 12

\[\Large
3^{17/8} = 3^{2+1/8} = 3^2 * 3^{1/8} = 9\sqrt[8]{3}
\]

Answer 13

Oh I see. Thank you. :)

Answer 14

I kept forgetting to ADD the powers. xD

Answer 15

You are welcome.