Alex S. answered • 12/08/13
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first multiply the two terms, without taking the square root ... then take squatre root of the product; simply add the exponents for each variable, then divide each by 2
SQRT[(a^10)(b^6)(c^4) = a^5*b^3*c^2
OR
take the square root of each of the tems, then multiply out (adding the exponents for each variable)
(a^3/2)(b^2)(c^1/2)(a^7/2)(b)(c^3/2) = a^10/2*b^3*c^4/2 = a^5*b^3*c^2
Steve S.
Also, since sqrt(x^2) = |x|, the final answer should be:
a^5*|b|^3*c^2, a >= 0 and c >= 0.
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12/09/13
Alex S.
Steve, I believe you are in error on both comments: since you're taking square roots of even exponens, there is NO requirement that any of the variables be positive (or, negative); on the second comment, again, you're going to square ... either negative
or positive value(s) are OK ... no need for using absolute value.
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12/09/13
Steve S.
12/09/13