careless850 3 years ago Simplify

1. careless850

$\sqrt{50x^{6}}$

2. careless850

I don't know how to find the answer..

3. Loujoelou

|dw:1340409134513:dw| K so we get all the factors of 50 and they are 5*5*2. We can only cancel out the 5's and bring them out cause there are 2 of them. Then for thex x^6 we can take them out (dividing by 2) and make them x^3. Answer- 5x^3sqrt"2"

4. careless850

I don't get it..

5. Loujoelou

K. First we have to find all the factors of 50. Can you do that?

6. Loujoelou

@careless850 you there?

7. careless850

I'm here sorry.

8. careless850

5*5 = 25.

9. careless850

25*2 = 50.

10. Loujoelou

No prob. as you said, they are 5,5, and 2.

11. careless850

ALright.

12. Loujoelou

$\sqrt{5*5*2*x^6}$ now we are going to work with the numbers. With the numbers in the square root, you can only cancel a number and bring it to the left if it shows at least twice. Since 5 is shown twice, we can cancel that out, divide by two, and bring it to the left. $5\sqrt{2x^6}$

13. Loujoelou

Ignore the divide by two I wrote, didn't mean to write that there.

14. Loujoelou

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