# Which statement is true about the product square root of 2(3 square root of 2 + square root of 18)?

Squares and square roots are very important topics in mathematics. They have their applications in various fields of engineering and science and are extensively used in calculations.

## Answer: The product square root of 2(3 square root of 2 + square root of 18) is equal to 12.

Let's understand the solution in detail.

**Explanation:**

Given: Product square root of 2(3 square root of 2 + square root of 18)

Let's represent this mathematically,

⇒ √2 × (3√2 + √18).

⇒ √2 × (3√2 + √18)

By using distributive property,

⇒ (3 × 2) + (√2 × √18)

⇒ 6 + √36

Now, we know that √36 = 6

⇒ 6 + 6 = 12