15sqrt8x^16/5sqrt2x^4
*I totally need help with this one!Please help me.!
I'm going to assume your problem is this:
15√(8x^16) / 5√(2x^4)
You can start by simplifying what's outside the square root sign. 15/5 reduces to 3/1. We end up with this:
3√(8x^16) / √(2x^4)
You can also simplify √8:
√(4 * 2) = 2√2
Now we have:
3 * 2√(2x^16) / √(2x^4)
6√(2x^16) / √(2x^4)
You can also take the square root of x^16 and the square root of x^4, which is x^8 and x^2 respectively.
Now we have:
6x^8√2 / x^2√2
Reduce and you will have the final simplified form, which will be this:
6x^6
I hope this is clear and will help.
To simplify the expression 15√(8x^16) / 5√(2x^4), we can follow these steps:
Step 1: Simplify what's outside the square root sign
15/5 reduces to 3/1, so our expression becomes:
(3/1)√(8x^16) / √(2x^4)
Step 2: Simplify the square roots
√(8x^16) can be broken down as follows:
√(8) * √(x^16)
√(2^3) * √(x^16)
2√2 * x^8
Similarly, √(2x^4) can be simplified as:
√(2) * √(x^4)
√(2) * x^2
Now our expression becomes:
(3/1)(2√2 * x^8) / (√2 * x^2)
Step 3: Cancel out common factors
We can cancel out the common factors from the numerator and the denominator. Since we have a factor of √2 in both the numerator and the denominator, they cancel out:
(3/1)(2 * x^8) / (x^2)
Simplifying further:
(3 * 2 * x^8) / (x^2)
6x^6
So the simplification of the expression 15√(8x^16) / 5√(2x^4) is 6x^6.