Question

simplify each radical expression. Use absolute value when necessary.
1) square root of a^4b^6
2) cube root of 216y^8

Answer 1

\[\sqrt{a ^{4}b ^{6}}\]
\[\sqrt[3]{216y ^{8}}\]

Answer 2

@Callisto can you help?

Answer 3

\[\sqrt{a^4b^6}= (a^4b^6)^{\frac{1}{2}}=...\]Cube root is just 1/3 instead of 1/2

Answer 4

so a^2b^3? and 6y^2?

Answer 5

Yes

Answer 6

thank you!!

Answer 7

Hmm.. Wait...
\[\sqrt{a^2}=|a|\]

Answer 8

wait what would that be then? \[\left| a^2 \right|\left| b^3 \right|\]?

Answer 9

That's just \[|a^2b^3|\]

Answer 10

oh ok and then the other one would be \[6\left| y^2 \right|\]?

Answer 11

Nope.. That's cube root.. not the same as square root!!

Answer 12

oh so it would just be 6y^2?

Answer 13

Yes

Answer 14

alright i think im done for the night thank you so much!!!

Answer 15

You're welcome :|

Answer 16

i actually understand this stuff better now :D

Answer 17

Hmm.. I still have doubt about the first question here... :|

Answer 18

its ok i can get help tomorrow then tell you so you'll know

Answer 19

Okay! Thanks :D Good night!!

Answer 20

good night thanks for everything!

Answer 21

Wiki says it's \(\sqrt{x^2}=|x|\)~
Welcome :)