Whats the answer to this 5√12a3- 2√3a3 + √27a3 and can you explain how you did it.
First: I am doing this on the assumption you mean all
of the a^3 terms to be under the square root signs
5rt(12a^3)-2rt(3a^3)+27rt(a^3)
=5rt(12)rt(a^3)-2rt(3)rt(a^3)
+27rt(a^3)
=rt(a^3)[5rt12-2rt3+27]
=rta^3[5(rt4)(rt3)-2(rt3)
+rt(9)rt(3)]
=rt(a^2)rt(a)[5(2)(rt3)-2rt3
+3rt3]
=a(rta)[10rt3-2rt3+3rt3]
=a(rta)(11rt3)
11a rt(3a)
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Verified answer
First: I am doing this on the assumption you mean all
of the a^3 terms to be under the square root signs
5rt(12a^3)-2rt(3a^3)+27rt(a^3)
=5rt(12)rt(a^3)-2rt(3)rt(a^3)
+27rt(a^3)
=rt(a^3)[5rt12-2rt3+27]
=rta^3[5(rt4)(rt3)-2(rt3)
+rt(9)rt(3)]
=rt(a^2)rt(a)[5(2)(rt3)-2rt3
+3rt3]
=a(rta)[10rt3-2rt3+3rt3]
=a(rta)(11rt3)
11a rt(3a)