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Question 625401: Multiply and simplify showing all your steps. Please help my book does not show how to do these,
1. Square root of 15b times square root of 3b
And 2. (2-square root6)(1+square root of 6)
Please help one these two I'm not sure how to do them.
thank you.
Found 2 solutions by jankiz, MathTherapy:
Answer by jankiz(13)   (Show Source):
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.
Plug in a same number to both equations, you should get the same answer!
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.
Answer by MathTherapy(10555)  (Show Source):
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