## malehuman01 one year ago mhmm

1. swissgirl

$$8 \sqrt{63x^5}$$ Is it like this?

2. swissgirl

Ok So $$\sqrt{63} = \sqrt{9*7}$$

3. swissgirl

We know that $$\sqrt{9}=3$$ Sooo $$\sqrt{63}= \sqrt{9*7}=3\sqrt{7}$$

4. swissgirl

Okkk but we didnt finish off the problem What is the answer?

5. swissgirl

Well is x in the squareroot or out? Is it the way you typed or the way I typed it?

6. swissgirl

Ok so we can write it out as $$\sqrt{63x^5}= \sqrt{9*7*x*x*x*x*x}=\sqrt{3^2*7*x^2*x^2*x}=3*x*x \sqrt{7*x}$$ $$=3x^2\sqrt{7x}$$

7. swissgirl

Do you follow what I did?

8. swissgirl

Ok so basically I broke evrything down 63=7*9 x^5=x*x*x*x*x

9. swissgirl

Then I tried to make everything squared so 9=3^2 and we know that sqrt of any number squared is the number itself sooo $$\sqrt{3^2}=3$$ and $$\sqrt{x^2}=x$$

10. swissgirl

Actually it didnt

11. swissgirl

ok but the final answer is $$8*3x^2\sqrt{7x} = 24x^2\sqrt{7x}$$

12. swissgirl

13. swissgirl