SOLUTION: Would someone help me to understand this....Thanks 4 sqrt[50]+sqrt[32]-sqrt[18] I got 4[5]+[4]-[6] not sure if that's right or not.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Would someone help me to understand this....Thanks 4 sqrt[50]+sqrt[32]-sqrt[18] I got 4[5]+[4]-[6] not sure if that's right or not.       Log On


   



Question 178166: Would someone help me to understand this....Thanks
4 sqrt[50]+sqrt[32]-sqrt[18]

I got 4[5]+[4]-[6] not sure if that's right or not.

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4 sqrt[50]+sqrt[32]-sqrt[18]
= 4*sqrt(25*2)+sqrt(16*2)-sqrt(9*2)
= 4*5sqrt(2)+4sqrt(2)-3sqrt(2)
= (20+4-3)sqrt(2)
= 21sqrt(2)

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Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

not 50, so certainly

Similarly, and , so the rest of your expression is incorrect as well.

You need to use the following rule:



Note that







So we can re-write your original expression as:



Since: , we can write:



Lastly, factor out the to obtain: