You can put this solution on YOUR website! simplify root of 490a^5b^3
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You need to factor out the perfect-square factors:
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sqrt[490a^5b^3] = sqrt[49a^4b^2*10ab]
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= sqrt[49a^4b^2]*sqrt[10ab]
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= 7a^2b*sqrt[10ab]
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Cheers,
Stan H.