%5E1%2F2-in-simplified-radical-form.jpeg "(16x)^1/2 In Simplified Radical Form")
Simplifying Radicals: (16x)^1/2
Radicals can be intimidating, but with a few simple steps, we can simplify them and make them easier to work with. In this article, we'll explore how to simplify the radical expression (16x)^1/2.
Step 1: Break Down the Expression
To simplify (16x)^1/2, we need to break down the expression into its individual components. We have a square root symbol √ with an exponent of 1/2, which means we need to find the square root of 16x.
Step 2: Find the Square Root of 16
The square root of 16 is 4, since 4^2 = 16.
Step 3: Simplify the Expression
Now, we can rewrite the expression as:
(16x)^1/2 = (√16) × (√x)
Substituting 4 for √16, we get:
(16x)^1/2 = 4√x
And that's it! We've simplified the radical expression (16x)^1/2 to 4√x.
Conclusion
Simplifying radicals can be a straightforward process once you understand the steps involved. By breaking down the expression, finding the square root of 16, and combining the results, we were able to simplify (16x)^1/2 to 4√x. This simplified form makes it easier to work with the expression in various mathematical operations.
