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Simplify: The sqrt of 21x^2y/75xy^5

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kristenmarieb... | Student, Grade 10 | (Level 1) Valedictorian

Posted April 20, 2013 at 8:30 PM via web

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Simplify:

The sqrt of 21x^2y/75xy^5

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tiburtius | High School Teacher | (Level 3) Associate Educator

Posted April 20, 2013 at 9:04 PM (Answer #1)

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`sqrt((21x^2y)/(75xy^5))=sqrt((7x)/(25y^4))=(sqrt(7x))/(sqrt(25y^4))=(sqrt(7x))/(5y^2)`` `` `

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oldnick | (Level 1) Valedictorian

Posted April 20, 2013 at 10:53 PM (Answer #2)

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`sqrt((21x^2y)/(75xy^5))=` `((21/75)(x^2/x)(y/y^5))^(1/2)=` `(7/25)xy^(-4))^(1/2)=`

`=((7x)/25y^4)^(1/2)=((7x)^(1/2))/(25y^4)^(1/2)=`

`((7)^(1/2)x^(1/2))/((5^2)^(1/2)(y^4)^(1/2))=`

`=((7)^(1/2)x^(1/2))/((5)^((2)(1/2))(y)^((4)(1/2)))=`

`=(7^(1/2)x(1/2))/(5y^2)=`

`=sqrt(7x)/(5y^2)`

``

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