3square root 5b^9

Product rule for radicals

can someone help me.

Why does not any one help me, please

Please can someone help me with this problem.

sorry to bother you all

good night

Of course! I can help explain the product rule for radicals.

The product rule states that when we multiply two radicals together, we can simplify the expression by multiplying the numbers outside the radicals and multiplying the numbers inside the radicals.

In your case, you have 3√(5b^9). Let's break it down step by step:

Step 1: Simplify the number outside the radical.
The number outside the radical is 3, so we will keep it as it is for now.

Step 2: Simplify the expression inside the radical.
The expression inside the radical is 5b^9. Since the index is 3, we can rewrite it as (5b^9)^(1/3).

Step 3: Apply the product rule by multiplying the numbers outside and inside the radical:
3 * (5b^9)^(1/3)

Step 4: Multiply the numbers outside the radical:
3 * 5b^9^(1/3)

Step 5: Simplify the expression inside the radical:
The exponent 1/3 represents the cube root, so we can rewrite b^9^(1/3) as the cube root of b^9.

Step 6: Simplify the expression further:
3 * 5 * cube root of b^9

Step 7: Multiply the numbers outside the radical (3 and 5):
15 * cube root of b^9

So, the simplified expression is 15√(b^9).