What is the square root 3 times square root 6?

To solve the problem of finding the square root of 3 times the square root of 6, follow these steps:

Start by expressing the problem as: √3 * √6

Use the property of square roots that states: √a * √b = √(a * b)

So, √3 * √6 becomes: √(3 * 6)

Multiply 3 and 6: 3 * 6 = 18

Now, you have: √18

Simplify √18 by factoring 18: 18 = 9 * 2

So, √18 becomes: √(9 * 2)

Apply the square root property to √9: √9 = 3

Therefore, √18 becomes: 3√2

So, the square root of 3 times the square root of 6 is: 3√2