SOLUTION: I have three questions. 1. Simplify [√(32xy^7)/(√2xy)] I think it is 4y^3 but not sure if it is [√ 4y^3] 2. Simplify and combine like radicals. [5(fo

Algebra ->  Radicals -> SOLUTION: I have three questions. 1. Simplify [√(32xy^7)/(√2xy)] I think it is 4y^3 but not sure if it is [√ 4y^3] 2. Simplify and combine like radicals. [5(fo      Log On


   

Question 122614: I have three questions.
1. Simplify [√(32xy^7)/(√2xy)] I think it is 4y^3 but not sure if it is
[√ 4y^3]
2. Simplify and combine like radicals.
[5(forth root√(16x) + 5(forth root √625x]. I have 25(forth root√x) is that correct?
3. Simplify the expression by rationalizing the demoninator √[3/7]. This one I have no idea what they are talking about.
Thank you in advance for any assistance .
Gina
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. Simplify [√(32xy^7)/(√2xy)]
= sqrt[(32xy^7)/(2xy)]
= sqrt[16y^6]
= 4y^3
You are correct
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2. Simplify and combine like radicals.
[5(forth root√(16x) + 5(forth root √625x].
= 5*2*4th rt of x + 5*5*4th rt of x
=(10+25)*4th rt of x
=35*4th rt of x
You are correct
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3. Simplify the expression by rationalizing the demoninator √[3/7].
= sqrt(3/7)
Multiply numerator and denominator by 7 to get:
= sqrt(21/49)
= [sqrt(21)]/[sqrt(49)]
= [sqrt(21)]/7
= (1/7)sqrt(21)
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Cheers,
Stan H.