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Mathematics 16 Online
OpenStudy (anonymous):

Need help with Rationalize denominators

OpenStudy (kropot72):

Is this it? \[\sqrt[6]{8a \times 3b \times12}\]

OpenStudy (anonymous):

its with \[\sqrt[6]{8a ^{3}b ^{12}}\]

OpenStudy (anonymous):

the first number is a 6 on top

OpenStudy (kropot72):

\[\frac{6}{\sqrt{8a ^{3}b ^{12}}}\]

OpenStudy (anonymous):

so that they way u answer the question?

OpenStudy (anonymous):

i didnt mean a 6 on top like dividing just its was to let u know it was a 6 before the \[\sqrt{?}\]

OpenStudy (anonymous):

you mean the 6th root?

OpenStudy (anonymous):

\[2^{1/2} a ^{1/2} b^{2}\]

OpenStudy (anonymous):

or \[b ^{2}\sqrt{2a}\]

OpenStudy (anonymous):

cortez how did you get that answer cause it was right and idk how to do it

OpenStudy (anonymous):

which answer?

OpenStudy (anonymous):

the second one that cortez had put

OpenStudy (anonymous):

@iChristiannnn you basically divide the powers of whatever is under the radical sign by 6.

OpenStudy (anonymous):

and in second case: a^1/2 is the same as sqrt(a)

OpenStudy (anonymous):

\[-x ^{3}/\sqrt{7x+10}\] how would i rationalize the denominator

OpenStudy (anonymous):

You can multiply the equation in a \[\sqrt{7x+10} \div \sqrt{7x+10}\] To rationalize the denominator. \[\sqrt{7x+10} \div \sqrt{7x+10} = 1\] so it won't affect on your result.

OpenStudy (anonymous):

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