document.write( "Question 625401: Multiply and simplify showing all your steps. Please help my book does not show how to do these,
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document.write( "1. Square root of 15b times square root of 3b
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document.write( "And 2. (2-square root6)(1+square root of 6)
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document.write( "Please help one these two I'm not sure how to do them.
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document.write( " thank you. \n" );
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Algebra.Com's Answer #393516 by jankiz(13)![]() ![]() You can put this solution on YOUR website! First problem: sqrt 15b * sqrt 3b= sqrt 45b^2. You can simplify this to 3b sqrt 5, because 9 times 5 is 45, and 9 is a perfect square. So, sqrt of 9 is 3 and you leave that outside of the radical sign. Sqrt of b^2 is b, so you leave that outside of the radical sign. 5 is not a perfect square, you put that under the radical sign. So, 3b sqrt 5. \n" ); document.write( "Plug in a same number to both equations, you should get the same answer!\r \n" ); document.write( "\n" ); document.write( "The second problem. (2-sqrt6)(1+sqrt6). Use FOIL to solve this. So, 2*1 is 2. 2*sqrt6 is 2sqrt6. -sqrt6*1 is -1sqrt6. -sqrt6*sqrt6 is -6, since the radical sign cancel outs. So, then answer is -4+1sqrt6. \n" ); document.write( " |