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Combine and simplify radicals square root 3 x square root 6

User MoonGoose
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Answer: 3 x 6 = 2

Step-by-step explanation: To combine and simplify sqrt(3) * sqrt(6), we can use the property that sqrt(a) * sqrt(b) = sqrt(ab) for non-negative values of a and b.

sqrt(3) * sqrt(6) = sqrt(3 * 6) = sqrt(18)

We can simplify sqrt(18) by factoring out the largest perfect square that divides into 18, which is 9.

sqrt(18) = sqrt(9 * 2) = sqrt(9) * sqrt(2) = 3sqrt(2)

Therefore, sqrt(3) * sqrt(6) = 3sqrt(2). Aka 3 x 6 = 2

User Edison Augusthy
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