Question

Simplify square root of 2 multiplied by the cube root of 2.

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_algebraI_v20/04_00_07.gif

Answer 2

\(\color{#000000 }{ \displaystyle \sqrt{2}\times \sqrt[3]{2} }\)

Like this?

Answer 3

yeap

Answer 4

There is are some rules you need to apply.
\(\color{#000000 }{ \displaystyle \sqrt[\Large \color{blue}{c}]{a^\color{red}{b}} = a^{\color{red}{b}/\color{blue}{c}} }\)

\(\color{#000000 }{ \displaystyle a^\color{blue}{c}\times a^\color{red}{b}=a^{\color{blue}{c}+\color{red}{b}} }\)

Answer 5

I am lagging a little-:(

Answer 6

same

Answer 7

so 2\[2^{1}\]x\[2^{3}\]=\[2^{1+3}\]?

Answer 8

Hint:
\(\color{#000000 }{ \displaystyle \sqrt{2}=\sqrt[2]{2} }\)
(the little number befor the root, above, is always 2 when not specified)

\(\color{#000000 }{ \displaystyle \sqrt{2}=\sqrt[2]{2}=\sqrt[2]{2^1} }\)
(when the number is multiplied one time times itself, that is - when it is written only once, that is same as rasing to the power of a 1)

And by this principle,
\(\color{#000000 }{ \displaystyle \sqrt[3]{2}=\sqrt[3]{2^1} }\)

Answer 9

ohh ok