SOLUTION: can you tell me which of the following are true?..i have some answers but i want to know if they are correct. 1.)Square root of 1/x = x^-1\2 2.)(x^1/2 + y^1/2)^2 = x+y 3.)1ne

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: can you tell me which of the following are true?..i have some answers but i want to know if they are correct. 1.)Square root of 1/x = x^-1\2 2.)(x^1/2 + y^1/2)^2 = x+y 3.)1ne      Log On


   



Question 46850: can you tell me which of the following are true?..i have some answers but i want to know if they are correct.
1.)Square root of 1/x = x^-1\2
2.)(x^1/2 + y^1/2)^2 = x+y
3.)1ne^3=3
4.)1n x^2=(1n x)^2
im not too certain about the last two but any help u can offer i will apreciate it! thank you.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.)Square root of 1/x = x^-1\2
OK if negative exponents are allowed.
Otherwise:[sqrtx]/x
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2.)(x^1/2 + y^1/2)^2 = x+y
NO. You have to use FOIL, as follows:
(sqrtx + sqrty)^2
=(sqrtx + sqrty)(sqrtx+sqrty)
=x+2(sqrtx)(sqrty)+y
=x+2sqrt(xy)+y
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3.)1ne^3=3
TRUE
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4.)1n x^2=(1n x)^2
NO
lnx^2 = 2lnx
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Cheers,
Stan H.