Question

Simplfy 3√12 × 2√5
A. 6√15
B. 6√60
C. 2√15
D. 12√15

Answer 1

To simplify the expression 3√12 × 2√5, you can first simplify the square roots:

√12 can be simplified as √(4 × 3), which is 2√3.

√5 remains as it is.

Now, multiply the simplified square roots:

3√12 × 2√5 = (3 × 2)√(2√3 × √5) = 6√(2√15).

So, the simplified expression is 6√(2√15), which corresponds to option B. That is a verified answer by myself

Answer 2

To simplify the expression 3√12 × 2√5, we can follow these steps:

1. Simplify each square root separately:

√12 = √(4 × 3) = √4 × √3 = 2√3

√5 remains as √5

2. Substitute the simplified square roots back into the expression:

3√12 × 2√5 = 3(2√3) × 2√5

3. Multiply the coefficients and simplify the square roots:

3(2√3) × 2√5 = 6√3 × 2√5

4. Multiply the coefficients and combine the square roots:

6√3 × 2√5 = 12√3√5

5. Simplify the product of the square roots:

√3√5 = √(3 × 5) = √15

Therefore, the simplified form of 3√12 × 2√5 is 12√15.

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