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Find the square root of (81 b^(2) a^(4))...

Find the square root of `(81 b^(2) a^(4))/(36 x^(2) y^(6))`

Text Solution

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Square root of
`(81b^(2)a^(4))/(36x^(2)y^(6)) = sqrt((81b^(2) a^(4))/(36x^(2) y^(6)))`
`= sqrt((81b^(2) a^(4))/(36x^(2) y^(6)))`
`= (sqrt81 xx sqrt(b^(2) a^(4)))/(sqrt36 xx sqrt(x^(2y^(6))))`
`= (sqrt9^(2) xx sqrt(b^(2) a^(4)))/(sqrt6^(2)) xx sqrt((xy^(3))^(2))`
`= (9ba^(2))/(6xy^(3)) = (3ba^(2))/(2xy^(3))`
`rArr` Square root of `(81b^(2)a^(4))/(36x^(2) y^(6)) = (3ba^(2))/(2xy^(3))`
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