Question

What is this expression in simplified form?
3sq3 . 6sq6

Answer 1

The expression 3sq3 . 6sq6 can be simplified by multiplying the numbers outside the square roots and the numbers inside the square roots separately.

Let's break down the expression step by step:

First, multiply the numbers outside the square roots: 3 x 6 = 18.

Next, multiply the numbers inside the square roots: √3 x √6.

To simplify this, we can multiply the numbers under the square roots together: √(3 x 6) = √18.

Now we have 18 . √18.

To simplify further, we can find the square root of 18. Simplifying the square root of 18 gives us √(9 x 2) = 3√2.

So, the simplified form of 3sq3 . 6sq6 is 18 . 3√2.

In summary:

3sq3 . 6sq6 = 18 . 3√2.