10.03] The length of one side of a square can be determined by square rooting the area. Suppose the area of a square picture frame is represented by 867v21. Determine the exact length of one side of the picture frame.

Question

anonymous · Answer

3 times v to power of 10 times the square root of the quantity 17 times v 

 3 times v to power of 20 times the square root of the quantity 17 times v 

 17 times v to power of 10 times the square root of the quantity 3 times v 

 17 times v to power of 20 times the square root of the quantity 3 times v

campbell_st · Answer

ok... so break the problem into smaller parts.. 

$$\sqrt{867v^{21}} = \sqrt{289\times3\times v^{20}\times v}$$

you can find the square root of 289 and v^20

so it becomes 

$$\sqrt{289v^{20}} \times \sqrt{3v}$$

just take the squre root of the 1st part of the expression.

anonymous · Answer

How would you solve this? though? What is the answer?

campbell_st · Answer

$$\sqrt{289v^{20}} = 17v^{10}$$

anonymous · Answer

OMG! thx so much! You r amazing!|dw:1353354844124:dw|

campbell_st · Answer

don't forget the 2nd part of the expression.

anonymous · Answer

Don't worry, it is multiple choice. :)