Question

Can someone teach me how this works?

Answer 1

\[\sqrt[4]{26}\]

Answer 2

you can think of radicals as raising the base to 1/x where \[\sqrt[x]{}\]

Answer 3

for example \[\sqrt{x} = x ^{1/2}\]

Answer 4

I know that it would end up like \[26^{1/4}\]

Answer 5

Do you want to simplify it?

26 = 2*13 and those are both prime, so it ends there.

so there's no way to simplify it.

Answer 6

Okay how about 10 \[\sqrt[4]{96}\]

Answer 7

\[10 \sqrt[4]{96}\]

Answer 8

6*16, right? And then 16 becomes 4, and 6 stays inside. 4*10 would become 40 so it would be

\[40 \sqrt[4]{6}\]

Answer 9

16 is 2^4, so...\[\large 96 = 6*16 = 3*2*2^4\]

Answer 10

You're taking the fourth root, not square root.

Answer 11

Oh, that's right... Okay! I get it now! c:

Answer 12

the answer would be \[20\sqrt[4]{6}\]

Answer 13

Good.