Question

Simplify. √72 a. 2√6 b. 36 ⁢√ 2 c. 12√6 d. 6√2

Answer 1

The expression √72 simplifies to 6√2.

Step-by-step explanation:

To simplify the expression √72, we need to find the largest perfect square that divides 72. In this case, the largest perfect square is 36. We can write 72 as 36 × 2. Taking the square root of 36 gives us 6. Therefore, the simplified expression is 6√2.

Answer 2

To simplify √72, we find the largest perfect square factor of 72, which is 36. Using the property that √(ab) = √a√b, we find that √72 = √(36×2) = √36√2 = 6√2, so the answer is 6√2 (option d).

Step-by-step explanation:

The question asks to simplify the square root of 72. To do this, we look for the largest perfect square that divides into 72 and then use the property sqrt(ab) = sqrt(a)sqrt(b) to simplify.

First Step: Find the largest perfect square factor of 72.
72 = 36 × 2, where 36 is a perfect square.

Second Step: Simplify using the square root property.
sqrt(72) = sqrt(36 × 2) = sqrt(36)sqrt(2) = 6sqrt(2).

Thus, the simplified form of sqrt(72) is 6sqrt(2), which corresponds to option d.