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Mathematics 23 Online
OpenStudy (anonymous):

Simplify the radical.

OpenStudy (anonymous):

\[\sqrt{36a ^4 b ^{10}}\]

OpenStudy (anonymous):

@mathmale

OpenStudy (anonymous):

is that b^10?

OpenStudy (anonymous):

@pleasehelp22 yes :)

OpenStudy (mathmale):

I'd suggest you break up the original radical like this:\[\sqrt{36a ^4 b ^{10}}=\sqrt{36}*\sqrt{a^4}*\sqrt{b ^{10}}\]

OpenStudy (mathmale):

Evaluate each of the 3 radicals separately, and then multiply together the 3 results.

OpenStudy (anonymous):

(36a^2b^10)^1/2 = \(\ 36^{1/2} * (a^4)^{1/2} * (b^10)^{1/2} \) \(\ ( a^4 )^{1/2} = \dfrac{4}{1} * \dfrac{1}{2} = \dfrac{4}{2} = 2 \) \(\ (a^4)^{1/2} = a^2 \) get it?

OpenStudy (anonymous):

\(\ b^{10} \) *

OpenStudy (anonymous):

\[6a ^{2} b ^{5}\]?

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