## pandaecat one year ago Simplify square root of 2 multiplied by the cube root of 2.

1. pandaecat

Can someone explain to me please???

2. pandaecat

Do you solve it like this: square root of 2 multiplied by the cube root of 2 equals2^(1/2)+2^(1/3) then you just solve 1/2 + 1/3 which equals 5/6??? So the answer is 2 and 5/6???

3. Nnesha

convert root to exponent form and then use the exponent rule when you multiply the same bases you should add their exponents

4. Nnesha

2 and 5/6 how would you write it in math form

5. pandaecat

Math form???

6. Nnesha

so it is like 2 and 5/6 like 2 times 5/6 what is 5/6 exponent ?

7. pandaecat

I don't really get it >.<

8. pandaecat

|dw:1437410739976:dw| that's what I meant by the answer

9. Nnesha

$\huge\rm 2^\frac{ 1 }{ 3 } \times 2^\frac{ 1 }{ 2 } =2^{\frac{ 1 }{ 2 }+\frac{ 1 }{ 3 }}$ so 5/6 is exponent of 2

10. Nnesha

$\huge\rm 2^\frac{ 5 }{ 6 }$ now you can convert 5/6 exponent to rot

11. Nnesha

root*

12. pandaecat

Oh I see!!!

13. Nnesha

$\huge\rm \sqrt[m]{x^n} = x^\frac{ n }{ m }$

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