SOLUTION: Multiply. √5 (√2-√11)

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Question 371976: Multiply. √5 (√2-√11)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%29%28sqrt%282%29-sqrt%2811%29%29
Just use the Distributive Property:
sqrt%285%29%2Asqrt%282%29+-+sqrt%285%29%2Asqrt%2811%29
To multiply square roots we use a property of all radicals: root%28a%2C+p%29%2Aroot%28a%2C+q%29+=+root%28a%2C+p%2Aq%29:
sqrt%285%2A2%29+-+sqrt%285%2A11%29
which simplifies to:
sqrt%2810%29-sqrt%2855%29
Since neither square root has a perfect square factor (other than 1), they will not simplify any further. So this is the answer.