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Rules for Radicals

YOUR TURN:

( 4th root of 3 )( 4th root of 27 ) ( sqrt(6) )( sqrt(6) ) ( sqrt(8) )( cube root of 2 ) ( 5*sqrt(2) )( 8*sqrt(18) )

Here's the rule for dividing radicals:

( nth root of a ) / ( nth root of b ) = ( nth root of a/b )

*Note again that the types of roots, n, need to match!

Here are a few examples:

sqrt(32) / sqrt(2) = sqrt(32/2) = sqrt(16) = 4

Check it on your calculator!

(cube root of 3) / (cube root of 81) = ( cube root of 3/81 ) = (cube root of 1) / (cube root of 27) = 1/3

(We used the rule twice here!)

sqrt(52) / (cube root of 2) roots don't match!