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. 1

Question

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)

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Isabelle 4 weeks 2021-09-19T21:49:00+00:00 1 Answer 0

Answers ( )

    0
    2021-09-19T21:50:29+00:00

    Answer:

    A. 15 c squared Start Root 3 End Root

    Step-by-step explanation:

    3\sqrt{5c} *\sqrt{15c^3} \\

    Multiply the terms inside the square roots together

    3\sqrt{75c^4}

    Look for items that are perfects squares

    3\sqrt{25*3*c^4}

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

    3\sqrt{25} *\sqrt{3}*\sqrt{c^4}

    3*5 *\sqrt{3} *c^2

    Combine like terms

    15c^2\sqrt{3}

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45:7+7-4:2-5:5*4+35:2 =? ( )