susan1350p7ns4o
contestada

What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root? (worth 30 brainily points)
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

since it is all written out instead of using the proper symbols I am confused on what the equation and answers should look like....but I did do my best and I am pretty sure the answer is A. Anyway can someone just tell me what the equation I'm simplifying should look like(same with the answers a-d)


Respuesta :

wegnerkolmp2741o

Answer:

A. 15 c squared Start Root 3 End Root

Step-by-step explanation:

[tex]3\sqrt{5c} *\sqrt{15c^3} \\[/tex]

Multiply the terms inside the square roots together

[tex]3\sqrt{75c^4}[/tex]

Look for items that are perfects squares

[tex]3\sqrt{25*3*c^4}[/tex]

We can separate terms inside the square root into separate square roots

[tex]3\sqrt{25} *\sqrt{3}*\sqrt{c^4}[/tex]

[tex]3*5 *\sqrt{3} *c^2[/tex]

Combine like terms

[tex]15c^2\sqrt{3}[/tex]