Question

what is the square root of 108b^4???!!! Help
simplify the radical expression! PLEASE?!

Answer 1

\[\sqrt{108b ^{4}}\]

Answer 2

\[6b \sqrt{3}\]???

Answer 3

\[\Large \sqrt{ 108b^{4} }\]


\[\Large \sqrt{ 36*3*b^2*b^2 }\]


\[\Large \sqrt{ 36 }* \sqrt{ 3 }* \sqrt{ b^2 }* \sqrt{ b^2 }\]


\[\Large 6* \sqrt{ 3 }* b * b\]


\[\Large 6* \sqrt{ 3 }* b^2\]


\[\Large 6b^2\sqrt{ 3 }\]


So \[\Large \sqrt{ 108b^{4} }\] simplifies to \[\Large 6b^2\sqrt{ 3 }\]

Answer 4

You are very close, the b in the answer should be squared

Answer 5

oops could u check \[5\sqrt{320}\] to make sure im doing this right?

Answer 6

\[\Large 5\sqrt{320}\]


\[\Large 5\sqrt{64*5}\]


\[\Large 5\sqrt{64}*\sqrt{5}\]


\[\Large 5*8*\sqrt{5}\]


\[\Large 40\sqrt{5}\]


So \[\Large 5\sqrt{320}=40\sqrt{5}\]

Answer 7

thats what i got! one more? \[3\sqrt{12x ^{2}}\]

Answer 8

\[\Large 3\sqrt{12x^2}\]


\[\Large 3\sqrt{4*3*x^2}\]


\[\Large 3\sqrt{4}*\sqrt{3}*\sqrt{x^2}\]


\[\Large 3*2*\sqrt{3}*x\]


\[\Large 6*\sqrt{3}*x\]


\[\Large 6x\sqrt{3}\]


So \[\Large 3\sqrt{12x^2}\] simplifies to \[\Large 6x\sqrt{3}\]

Answer 9

thank you so much for your help and if thatquestion had been \[-3\sqrt{12x ^{2}}\]would the answer be \[-6x \sqrt{3}\]?

Answer 10

yes that's exactly right

Answer 11

thank you so much i grasp the concept well now(:

Answer 12

that's great

Answer 13

you're welcome