I have 70 problems today and have trouble near the end if I can get help on the ones I am going to to post I can do the last 15. I so appreciate help with understanding the steps. I will split the posts.
Thank you very much.
I will use < as square root sign.
#54
-<18c * <-2c(cubed)
#62
yi<-16y(sq)+ <16y(sq) - y(sq)i<-9
Sure, I'd be happy to help you with your math problems! Let's go through them one by one:
Problem #54: Simplifying the expression -√18c * -√2c^3
To solve this problem, we need to apply the properties of square roots and simplify the expression:
Step 1: Start by simplifying the square roots individually.
-√18c can be simplified as -√(9 * 2c) since 9 is a perfect square: -3√2c
-√2c^3 can be simplified as -√(2 * c^2 * c) using the same reasoning: -c√2c
Step 2: Multiply the simplified square roots.
(-3√2c) * (-c√2c)
When multiplying two numbers with square roots, we can simply multiply the numbers outside the square roots and multiply the numbers inside the square roots.
= (-3 * -c) * (√2c * √2c)
= 3c * √(2c * 2c)
= 3c * √4c^2
= 3c * 2c
= 6c^2
Therefore, the simplified expression is 6c^2.
Problem #62: Simplifying the expression yi - √16y^2 - √(y^2 - 9)
To solve this problem, we need to apply the properties of square roots and simplify the expression:
Step 1: Start by simplifying the square roots.
√16y^2 is equal to √(4 * 4 * y^2) = 4y
√(y^2 - 9) cannot be simplified further.
Step 2: Substitute the simplified square roots back into the expression.
yi - 4y - √(y^2 - 9)
And there you have it, the simplified expression is yi - 4y - √(y^2 - 9).
I hope that helps! Let me know if you have any further questions.