Question

√18a²•4√3a²

PLEASE SHOW ALL THE STEPS YOU TOOK TO GET THE ANSWER​

Answer 1

9514 1404 393

Answer:

as written: (12√6)a²

Explanation:

The way you have written this, only the numbers are under the radicals:

`√(18)a^2\cdot4√(3)a^2=4√(18\cdot3)a^(2+2)=4√(3^2\cdot6)a^4\\\\=\boxed{12√(6)\cdot a^4}`

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We suspect you may want to simplify ...

`√(18a^2)\cdot4√(3a^2)=4√(54a^4)=4√(6(3a^2)^2)=\boxed{12√(6)\cdot a^2}`

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We make use of the rules for combining radicals and exponents.

(√a)(√b) = √(ab)

(a^b)(a^c) = a^(b+c)

√(a²) = a . . . . for a ≥ 0