## marigirl one year ago simplify 4th root of 36

1. marigirl

$\sqrt[4]{36}$

2. ganeshie8

As a start change it to exponent form using : $\large \sqrt[n]{m}= m^{\frac{1}{n}}$

3. marigirl

3*3*2*2

4. marigirl

how do i end up at sqrt6 as my answer

5. zzr0ck3r

$$(\sqrt{6}\sqrt{6})(\sqrt{6}\sqrt{6})=6*6$$ Go with @ganeshie8 's idea to see how you can get there without knowing..

6. marigirl

$(36)^{1/4}$ $6^2(^.25)$

7. marigirl

then we can go 6 ^ 0.5

8. marigirl

which is square root of 6

9. marigirl

thanks @ganeshie8 @zzr0ck3r

10. zzr0ck3r

Yeah, but what is the strategy if we do not know what we are looking for ? @ganeshie8

11. marigirl

i worked it out on my calc and found that it was square root 6. for some reason i was looking for one number that can be multiplied by 4 times to get to 36 which is not the case in scenario