(2sqrtx)(5sqrtx^3)
Here is what I got:10sqrtx^4
*Is this correct.?
This one is close but still needs to be simplified further.
10√x^4 -->you can take the square root of x^4.
Can you take it from here to finish?
so it will be:10sqrtx^2
No, remember you are taking the square root of x^4, which is x^2, and that comes out from under the square root sign.
You are left with 10x^2 as the simplified form.
To explain the simplification process step by step:
1. Start by multiplying the coefficients: 2 * 5 = 10.
2. Multiply the variables inside the square roots: √x * √x^3 = √x^(1 + 3) = √x^4.
3. Simplify the square root of x^4 by taking the square root of x^4, which is x^2. The square root symbol is removed, leaving just x^2.
4. Multiply the coefficient (which is 10) with the simplified variable (x^2) to get the final answer: 10x^2.
So, the correct simplified form of (2√x)(5√x^3) is 10x^2.