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Mathematics 19 Online
OpenStudy (danielbarriosr1):

Someone please help me

OpenStudy (danielbarriosr1):

\[3\sqrt{150b ^{8}}\]

OpenStudy (danielbarriosr1):

@mathmale

OpenStudy (yanasidlinskiy):

https://mathway.com/

OpenStudy (danielbarriosr1):

I need to simplify it

OpenStudy (danielbarriosr1):

that page just gives an answer

OpenStudy (helder_edwin):

u need to factor the 150 \[\large 3\sqrt{150b^8}=3(2\cdot3\cdot5^2b^8)^{1/2}= 3(2\cdot 3)^{1/2}(5^2)^{1/2}(b^8)^{1/2}= \] \[\large =3\cdot5\cdot b^4\sqrt{6}=15b^4\sqrt{6} \]

OpenStudy (danielbarriosr1):

I didnt get anything

OpenStudy (danielbarriosr1):

@mathmale

OpenStudy (danielbarriosr1):

Someone please

OpenStudy (yanasidlinskiy):

Does @helder_edwin work not help you?? What's the problem?? Do you not understand it or you don't know how to figure it out??

OpenStudy (danielbarriosr1):

i dont understand it

OpenStudy (helder_edwin):

i told u that u need to factor 150 so \[\large 150=2\cdot3\cdot5^2 \]

OpenStudy (danielbarriosr1):

Yes

OpenStudy (helder_edwin):

next i wrote the square root as an exponent \[\large \sqrt{A}=a^{1/2} \] then the property of exponents \[\large (AB)^n=A^nB^n \] and finally \[\large (A^n)^m=A^{n\times m} \] u should be familiar with all these.

OpenStudy (helder_edwin):

sorry a typo: \[\large \sqrt{A}=A^{1/2} \]

OpenStudy (danielbarriosr1):

Can it be like this: \[3(\sqrt{15b^7}*\sqrt{10b})\]

OpenStudy (danielbarriosr1):

?

OpenStudy (helder_edwin):

yes it COULD be like that. but what u wrote is completely useless for the purpose of the exercise.

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