how do i solve square root of 72x to the 3rd power?????
(72x)3/2
To solve the expression √(72x^3), there are a few steps you can follow:
Step 1: Simplify the term inside the square root.
- Since 72 can be factored as 36 * 2, we can rewrite the expression as √(36 * 2x^3).
Step 2: Apply the properties of square roots.
- The square root of a product is the same as the product of the square roots. Therefore, we can rewrite the expression as √36 * √(2x^3).
Step 3: Simplify the square root of 36.
- The square root of 36 is 6. So we have 6 * √(2x^3).
Step 4: Simplify the square root of x^3.
- We can simplify √(x^3) by dividing the exponent 3 by 2. This gives us x^(3/2).
Putting everything together, the expression becomes:
6 * x^(3/2) * √2
Therefore, the solution to √(72x^3) is 6 * x^(3/2) * √2.