SOLUTION: simplify:
sqrt 81c^5d^4
Algebra.Com
Question 6305: simplify:
sqrt 81c^5d^4
Answer by AnlytcPhil(1807) (Show Source): You can put this solution on YOUR website!
simplify:
`______
Ö81c5d4
`
Prime factor 81 = 9·9 = 3·3·3·3
Prime factor c5 = c·c·c·c·c
Prime factor d4 = d·d·d·d
`______
Ö81c5d4 =
`_________________________
Ö3·3·3·3·c·c·c·c·c·d·d·d·d =
`_____________________________________
Ö(3·3)·(3·3)·(c·c)·(c·c)·c·(d·d)·(d·d) =
`_______________________________
Ö(32)·(32)·(c2)·(c2)·c·(d2)·(d2) =
`__ `__` __`__ `_` __` __
Ö32·Ö32·Öc2·Öc2·Öc·Öd2·Öd2 =
` ` ` ` ` ` ` ` `_
`3 · 3 · c · c ·Öc· d · d =
` ` ``_
9·c2·Öc·d2
` ` ` _
9c2d2Öc
`
Edwin
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