confused on this please help

[drea13]

square root3a +3squareroot75a cubed? so i factor out (5 x 5 x 3), pull out 5 and a squared then add them to the 3??? not makin sense to me nor am i getting the right answers please help (btw where can i find symbols for square roots cubed ect.)

 

[Denis]

square root3a +3squareroot75a cubed?

Do you mean: sqrt(3a) + 3sqrt(75a^3) or sqrt(3) times a + 3sqrt(75) times a^3 ?

 

[drea13]

sqrt(3a) + 3sqrt(75a^3) this one got any suggesstions on what im doing wrong

sqrt(3a) +3 sqrt(5 x 5 x 5 acubed)

 

[Deleted member 4993]

sqrt(3a) + 3sqrt(75a^3) this one got any suggesstions on what im doing wrong

sqrt(3a) +3 sqrt(5 x 5 x 5 acubed)

Again,

You did not tell us the WHOLE question - what were you supposed to do - find what?

Unless you tell us that we cannot evaluate/correct your work.

 

[drea13]

sorry add and simplify like radical terms

 

[mmm4444bot]

\(\displaystyle \sqrt{3a} \;+\; 3 \cdot \sqrt{75a^3}\)

\(\displaystyle \sqrt{3a} \;+\; 3 \cdot \sqrt{3 \cdot 5 \cdot 5 \cdot a \cdot a \cdot a}\)

\(\displaystyle \sqrt{3a} \;+\; 3 \cdot \sqrt{3} \cdot \sqrt{5^2} \cdot \sqrt{a} \cdot \sqrt{a^2}\)

\(\displaystyle \sqrt{3a} \;+\; 3 \cdot \sqrt{3} \cdot 5 \cdot \sqrt{a} \cdot |a|\)

\(\displaystyle \sqrt{3a} \;+\; 3 \cdot 5 \cdot |a| \cdot \sqrt{3} \cdot \sqrt{a}\)

\(\displaystyle \sqrt{3a} \;+\; 15 \cdot |a| \cdot \sqrt{3a}\)

Now you have two like-terms. Add them.

By the way, if your math class indicates that the symbol a represents a positive number, then you can drop the absolute-value symbols.