Can someone please show me how to solve this problem step by step thanks an advance sqrt 7x sqrt 21y multiply then if possible simply by factoring
To multiply sqrt(7x) by sqrt(21y), we can use the property of square roots which states that the product of two square roots is equal to the square root of the product of their radicands (the numbers under the square root symbol). In this case, the radicands are 7x and 21y.
Step 1: Write the multiplication of the two square roots as a single square root:
sqrt(7x) * sqrt(21y) = sqrt(7x * 21y)
Step 2: Simplify the product inside the square root:
7x * 21y = 147xy
Therefore, sqrt(7x) * sqrt(21y) = sqrt(147xy)
Now, let's simplify the product further by factoring, if possible.
Step 3: Determine if 147xy can be factored. In this case, 147 is not a perfect square and cannot be factored any further. So, we can't simplify the square root of 147.
Therefore, the answer is sqrt(147xy).
Note: If any of the numbers (7, 21, x, or y) can be further factored, you can simplify those expressions before multiplying, which could result in a simplified answer.