ok, we are learning about simplifying radical equations and I am really confused about. Please help me. This is one of the problems in my book:
Sorry but my computer does not have the root sign
root sign and then under it 4n^3 (to the power of three.
Do you understand that. Thank you very much.
sqrt(4n^3)=sqrt(4n^2)*sqrt(n)
= 2n sqrt n
thank you very much bobpursley. I have the type of teacher who goes through everything so fast.
Yes, I understand what you're trying to describe. You have a radical equation with the cube root symbol (∛) and inside it, you have the expression 4n^3 raised to the power of three.
To simplify this radical equation, we need to simplify the expression inside the radical.
Step 1: Simplify the expression inside the radical.
In this case, we have 4n^3 raised to the power of three. To simplify this, we apply the power rule, which states that when you have an exponent raised to another exponent, you multiply the exponents.
So, (4n^3)^3 = 4^3 * (n^3)^3 = 64n^(3*3) = 64n^9
Step 2: Write the simplified expression under the radical sign.
Now that we have simplified the expression inside the radical, we can write it in its simplified form under the cube root symbol (∛).
Thus, the simplified radical equation would be: ∛(64n^9)
If you have a calculator or a computer program that can calculate cube roots, you can evaluate the cube root of 64n^9 by plugging in the value of 'n' and using the appropriate function to calculate the cube root.
I hope this helps! Let me know if you have any further questions.