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# Please help! I am so confused. Please show work. Thank you!!

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2   Please help! I am so confused. Please show work. Thank you!!

Mar 28, 2018

### 2+0 Answers

#1
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n√a) m   can be written as    am/n  .....so.....

5(√a5 )  =    a5/5  =  (a1/5)5  = a  ⇒   Answer  C

Second one

3√ [216a3b9 ]  =  3√216  * 3√a3  *  3√b9    =  (63)1/3 * (a3)1/3 * (b9)1/3  =

6ab⇒ Answer C

Last one....look at answer B

√[98 j9c8]  = √{49*2]  * √ [j9 ] * √[c8 ]   =

√49  * √2  * √ [j8]  * √j  * √[c8 ]   =

7  * √2  *  (j8)1/2  * √j  *  (c8)1/2    =

7j4c4√[ 2j ]   Mar 28, 2018
#2
+3

$$7j^4c^4\sqrt{2j}$$

Square and square root the expression.

$$=\,\sqrt{\bigg(7j^4c^4\sqrt{2j}\bigg)^2}\\~\\ =\,\sqrt{7^2(j^4)^2(c^4)^2(\sqrt{2j})^2\vphantom{\bigg)}}\\~\\ =\,\sqrt{49j^8c^8(2j)\vphantom{\bigg)} }\\~\\ =\,\sqrt{49\cdot2\cdot j^8\cdot j\cdot c^8\vphantom{\bigg)} }\\~\\ =\,\sqrt{98j^9c^8 \vphantom{\big)}}$$

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Mar 28, 2018