## anonymous one year ago Find the value of zero point 17 repeating times square root of 108 end square root and place it in simplified form

1. anonymous

can you simplify the square root part? You can write 108 as prime factors

2. anonymous

i have no idea thats why im asking you

3. anonymous

what are 2 numbers that multiply to give 108?

4. anonymous

10.3923048454

5. anonymous

that's an approximation. They want an exact answer. Start by finding any two numbers that multiply to 108. Like _____ times _______ = 108

6. anonymous

10.4

7. anonymous

that's only 1 number. ok so 108 is even, so 2 is a factor of 108. What's 108/2 ?

8. anonymous

54

9. anonymous

right now do the same thing to find factors of 54. 54/2 = ? |dw:1441721517994:dw|

10. anonymous

27

11. anonymous

right and then 27 = 3*9 and 9 = 3 * 3|dw:1441721590093:dw|

12. anonymous

you want the square root, so circle pairs of the same number and write them outside the radical. Leave anything not paired off inside|dw:1441721711027:dw|

13. anonymous

0.17 repeating is the same as 17/99, so all you have left to do is cancel $\frac{ 17 }{ 99 }(6\sqrt{3})$

14. anonymous

so what would that give me