what is the product of 10 and 9√24 in simplest form
To find the product of 10 and 9√24 in simplest form, you need to simplify the expression as much as possible. Let's break down the steps to find the solution:
Step 1: Simplify the square root of 24.
The square root of 24 can be simplified as follows:
√24 = √(4 x 6) = √4 x √6 = 2√6
So, 9√24 becomes 9 x 2√6.
Step 2: Multiply 9 by 2.
Multiplying 9 by 2 gives us:
9 x 2 = 18
So, the expression becomes 18√6.
Step 3: Multiply 18√6 by 10.
Multiplying 18√6 by 10 gives us:
18√6 x 10 = 180√6
Therefore, the product of 10 and 9√24 in its simplest form is 180√6.
To find the product of 10 and 9√24 in simplest form, follow these steps:
Step 1: Simplify the square root of 24
The square root of 24 can be simplified by finding the largest perfect square that is a factor of 24. In this case, the largest perfect square that is a factor of 24 is 4 (2²), so we can rewrite 24 as 4 * 6.
Square root of 24 = square root of (4 * 6) = square root of 4 * square root of 6 = 2 * square root of 6.
Step 2: Multiply the simplified square root of 24 by 9.
9 * (2 * square root of 6) = 18 * square root of 6.
Step 3: Multiply the result from step 2 by 10.
10 * (18 * square root of 6) = 180 * square root of 6.
Therefore, the product of 10 and 9√24 in simplest form is 180√6.
√24 = √4 * √6 = 2√6
10 * 9 * 2√6 = ?