What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root?
A. 15 c squared Start Root 3 End Root
B. 6 c squared Start Root 5 End Root
C. 5 c squared Start Root 3 End Root
D. 12 c superscript 4 baseline Start Root 5 End Root
I am confused on what they are asking
did you mean:
√(5c) * √(15c^3) ?
then
= √(75c^4)
= √25 c^2 √3
= 5c^2 √3 , which would be C
I am on a Mac and I can create √ with "Option v"
on a PC there are similar ways, google it
you could also do something like sqrt(5c) * sqrt(15c^2)
right not write XD I am terrible at english
i think the answer is a....but im not completely sure
never mind I was write about A!
I took the test and the test and answered A. I got it write. the problem is supposed to look like 3√5c*√15c^3
ugh my english is terrible
It's a!
Yes, you are correct. The simplified form of 3√5c * √15c^3 is 15c^2 * √3, which is option A. Well done!
The question is asking for the simplified form of the expression: 3√5c √(15c^3). To simplify this expression, we need to apply the rules of exponents and simplify the radicals.
First, let's simplify the radical √(15c^3):
Split the factors inside the radical:
√(15) √(c^3)
Evaluate the perfect square:
√(15) c √(c^2)
Simplify the radical:
c√(15c^2)
Now, substitute this simplified radical into the original expression:
3√5c √(15c^3) becomes:
3√5c (c√(15c^2))
Multiply the coefficients:
3 * c = 3c
Multiply the radicals:
√5 √(15c^2) = √(5 * 15c^2)
Combine the like terms inside the radical:
√(75c^2)
Simplify the radical:
√(25 * 3c^2)
Take out the perfect square from the radical:
√25 * √(3c^2)
Evaluate the perfect square:
5 * c
Combine the simplified radical with the coefficient:
3c * 5c = 15c^2
So, the simplified form of the expression is 15c^2. Therefore, the correct answer is A. 15c squared Start Root 3 End Root.