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Mathematics 10 Online
OpenStudy (henrietepurina):

Please Help! Square Roots Question :) Medal + Fan

OpenStudy (henrietepurina):

OpenStudy (henrietepurina):

Can you help?

OpenStudy (anonymous):

I have just looked this up. To multiply the radicals they need the same "indexes", above we have (index 5) and (index 2)

OpenStudy (henrietepurina):

I don't know but that's directly from the question :/

OpenStudy (anonymous):

Yes, we need to change the form before calculating the answer

OpenStudy (anonymous):

We can exploit the property that radicals "undo" exponents: \[\sqrt[2]{5^2} = 5\]of course, square root is the "inverse" of squaring, so squaring first then taking root gives the same number back

OpenStudy (anonymous):

It also works for higher exponents and higher indexes \[\sqrt[3]{5^3} = 5\]If you have different orders of exponent and index, you'll get an exponent or a type of radical as a result

OpenStudy (henrietepurina):

Hmmm.... so what do we do? |dw:1400109233418:dw|

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