SOLUTION: sqrt sign 54w small 16 at top of w over 150z small 4 at top of z.please show me how to simplify this . i really value your help.thanks

Question 139348: sqrt sign 54w small 16 at top of w over 150z small 4 at top of z.please show me how to simplify this . i really value your help.thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sqrt sign 54w small 16 at top of w over 150z small 4 at top of z
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sqrt(54w^16/150z^4)
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Separate the radicand into two factors.
Make the 1st factor be a perfect square.
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sqrt[(9w^16/25z^4)(6/6)]
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Take the square root of the perfect square out of the radical.
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=(3w^8)/(5z^2)
That is the final answer because the 6's cancel.
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Cheers,
Stan H.

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