document.write( "Question 903100: Perform the indicated multiplication. Then simplify.
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document.write( "sqrt7 ( 6sqrt3 - 6 sqrt7)\r
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Algebra.Com's Answer #547780 by AlgebraLady88(44)![]() ![]() You can put this solution on YOUR website! To solve, we use the distributive postulate. A postulate is a statement that is accepted as true. A distributive postulate would be written like this :\r \n" ); document.write( "\n" ); document.write( "a(b+c) = ab + ac \r \n" ); document.write( "\n" ); document.write( "sqrt 7 ( 6sqrt3 - 6sqrt7)\r \n" ); document.write( "\n" ); document.write( "= 6 sqrt 21 - 6 sqrt 49 \n" ); document.write( "= 6 sqrt 21 - 6*7 \n" ); document.write( "= 6 sqrt 21 - 42\r \n" ); document.write( "\n" ); document.write( "Explanation : when we multiply radicals, we just multiply the radicands. A radicand is the number inside the radical sign. Therefore, sqrt of 7 multiplied by sqrt of 3 is sqrt of 21. We cannot simplify sqrt of 21 any further as the factors for 21 are simply 3 and 7. These are not square numbers. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |